2013

Articles

• Loss, Michael ; Kowalczyk, Michal ; Esteban, Maria J. ; Dolbeault, Jean . Sharp interpolation inequalities on the sphere : new methods and consequences. Chinese Annals of Mathematics, series B. Volume 34. n° 1. 2013. pages 99-112. Springer. DOI http://dx.doi.org/10.1007/s11401-012-0756-6.

Working Papers

• Jankowiak, Gaspard ; Markowich, Peter ; Dolbeault, Jean . Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability. Université Paris-Dauphine . 2013 .
• Esteban, Maria J. ; Dolbeault, Jean . Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations. Université Paris-Dauphine . 2013 .
• Laptev, Ari ; Esteban, Maria J. ; Dolbeault, Jean . Spectral estimates on the sphere. Université Paris-Dauphine . 2013 .
• Loss, Michael ; Esteban, Maria J. ; Dolbeault, Jean . Nonlinear flows and rigidity results on compact manifolds. Université Paris-Dauphine . 2013 .
• Loss, Michael ; Laptev, Ari ; Esteban, Maria J. ; Dolbeault, Jean . Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. Université Paris-Dauphine . 2013 .

2012

Articles

• Loss, Michael ; Esteban, Maria J. ; Dolbeault, Jean . Symmetry of extremals of functional inequalities via spectral estimates for linear operators. Journal of Mathematical Physics. Volume 53. n° 9. 2012. pages 18 pages. American Institute of Physics. DOI http://link.aip.org/link/doi/10.1063/1.4704911.
• Dolbeault, Jean ; Esteban, Maria J. . Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Volume 142. n° 4. 2012. pages 745-767. Cambridge University Press. DOI http://dx.doi.org/10.1017/S0308210510001101.
• Dolbeault, Jean ; Mouhot, Clément ; Schmeiser, Christian . Hypocoercivity for linear kinetic equations conserving mass. Transactions of the American Mathematical Society. 2012. pages 21. American Mathematical Society.

Working Papers

• Manásevich, Raul ; Garcia-Huidobro, Marta ; Dolbeault, Jean . Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator. Université Paris-Dauphine . 2012 .
• Manásevich, Raul ; Garcia-Huidobro, Marta ; Dolbeault, Jean . Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator. Université Paris-Dauphine . 2012 .
• Toscani, Giuseppe ; Dolbeault, Jean . Improved interpolation inequalities, relative entropy and fast diffusion equations. Université Paris-Dauphine . 2012 .
• Campos Serrano, Juan ; Dolbeault, Jean . A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities. Université Paris-Dauphine . 2012 .
• Schmeiser, Christian ; Mouhot, Clément ; Klar, Axel ; Dolbeault, Jean . Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Université Paris-Dauphine . 2012 .
• Dolbeault, Jean ; Del Pino, Manuel . The Euclidean Onofri inequality in higher dimensions. Université Paris-Dauphine . 2012 .
• Esteban, Maria J. ; Dolbeault, Jean . A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Université Paris-Dauphine . 2012 .

2011

Articles

• Bartier, Jean-Philippe ; Blanchet, Adrien ; Dolbeault, Jean ; Escobedo, Miguel . Improved intermediate asymptotics for the heat equation. Applied Mathematics Letters. Volume 24. n° 1. 2011. pages 76-81. Elsevier. DOI http://dx.doi.org/10.1016/j.aml.2010.08.020.
• Biler, Piotr ; Corrias, Lucilla ; Dolbeault, Jean . Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis. Journal of Mathematical Biology. Volume 63. n° 1. 2011. pages 1-32. Springer. DOI http://dx.doi.org/10.1007/s00285-010-0357-5.
• Tertikas, Achiles ; Tarantello, Gabriella ; Esteban, Maria J. ; Dolbeault, Jean . Radial symmetry and symmetry breaking for some interpolation inequalities. Calculus of Variations and Partial Differential Equations. Volume 42. n° 3-4. 2011. pages 461-485. Springer. DOI http://dx.doi.org/10.1007/s00526-011-0394-y.
• Sparber, Christof ; Dolbeault, Jean ; Aki, Gonca L. . Thermal effects in gravitational Hartree systems. Annales Henri Poincaré. Volume 12. n° 6. 2011. pages 1055-1079. Springer. DOI http://dx.doi.org/10.1007/s00023-011-0096-1.
• Toscani, Giuseppe ; Dolbeault, Jean . Fast diffusion equations: matching large time asymptotics by relative entropy methods. Kinetic and Related Models. Volume 4. n° 3. 2011. pages 701-716. American Institute of Mathematical Sciences. DOI http://dx.doi.org/10.3934/krm.2011.4.701.

Working Papers

• Toscani, Giuseppe ; Dolbeault, Jean . Improved Sobolev's inequalities, relative entropy and fast diffusion equations. Université Paris-Dauphine . 2011 .
• Volzone, Bruno ; Dolbeault, Jean . Improved Poincaré inequalities. Université Paris-Dauphine . 2011 .
• Savaré, Giuseppe ; Nazaret, Bruno ; Dolbeault, Jean . From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach. Université Paris-Dauphine . 2011 .
• Dolbeault, Jean . Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion. Université Paris-Dauphine . 2011 .

2010

Articles

• Vazquez, Juan-Luis ; Grillo, Gabriele ; Dolbeault, Jean ; Bonforte, Matteo . Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. Proceedings of the National Academy of Sciences of the United States of America. Volume 107. n° 38. 2010. pages 16459-16464. National Academy of Sciences of the USA. DOI http://dx.doi.org/10.1073/pnas.1003972107.
• Del Pino, Manuel ; Dolbeault, Jean ; Filippas, Stathis ; Tertikas, Achilles . A logarithmic Hardy inequality. Journal of Functional Analysis. Volume 259. n° 8. 2010. pages 2045-2072. Elsevier. DOI http://dx.doi.org/10.1016/j.jfa.2010.06.005.
• Fernandez, Javier ; Escobedo, Miguel ; Dolbeault, Jean ; Blanchet, Adrien . Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model. Journal of Mathematical Analysis and Applications. Volume 361. n° 2. 2010. pages 533-542. Elsevier. DOI http://dx.doi.org/10.1016/j.jmaa.2009.07.034.
• Stanczy, Robert ; Dolbeault, Jean . Non-existence and uniqueness results for supercritical semilinear elliptic equations. Annales Henri Poincaré. Volume 10. n° 7. 2010. pages 1311-1333. Springer. DOI http://dx.doi.org/10.1007/s00023-009-0016-9.
• Dolbeault, Jean . Extremal functions and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Oberwolfach Reports. Volume 7. n° 1. 2010. pages 330-334. European Mathematical Society.
• Campos Serrano, Juan ; Del Pino, Manuel ; Dolbeault, Jean . Relative equilibria in continuous stellar dynamics. Communications in Mathematical Physics. Volume 300. n° 3. 2010. pages 765-788. Springer. DOI http://dx.doi.org/10.1007/s00220-010-1128-2.

Conference Contributions

• Dolbeault, Jean ; Esteban, Maria J. . Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants. Conference on mathematical results in quantum physics (QMATH-11). Hradec Králové. République tchèque. 2010.

Working Papers

• Esteban, Maria J. ; Dolbeault, Jean . About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities. Université Paris Dauphine . 2010 .

2009

Articles

• Dolbeault, Jean ; Esteban, Maria J. ; Loss, Michael ; Tarantello, Gabriella . On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Advanced nonlinear studies. Volume 9. n° 4. 2009. pages 713-726.
• Kowalczyk, Michal ; Dolbeault, Jean ; Blanchet, Adrien . Stochastic Stokes' drift, homogenized functional inequalities, and large time behavior of Brownian ratchets. SIAM Journal on Mathematical Analysis. Volume 41. n° 1. 2009. pages 46-76. SIAM. DOI http://dx.doi.org/10.1137/080720322.
• Savaré, Giuseppe ; Nazaret, Bruno ; Dolbeault, Jean . A new class of transport distances between measures. Calculus of Variations and Partial Differential Equations. Volume 34. n° 2. 2009. pages 193-231.
• Dolbeault, Jean ; Felmer, Patricio ; Lewin, Mathieu . Orbitally-Stable States in Generalized Hartree-Fock Theory. Mathematical Models and Methods in Applied Sciences. Volume 19. n° 3. 2009. pages 347-367. World Scientific. DOI http://dx.doi.org/10.1142/S0218202509003450.
• Benguria, Rafael ; Dolbeault, Jean ; Monneau, Régis . Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - div interactions. Journal of Statistical Physics. Volume 134. n° 1. 2009. pages 27-51. Springer. DOI http://dx.doi.org/10.1007/s10955-008-9662-4.
• Grillo, Gabriele ; Vazquez, Juan-Luis ; Blanchet, Adrien ; Bonforte, Matteo ; Dolbeault, Jean . Asymptotics of the fast diffusion equation via entropy estimates. Archive for Rational Mechanics and Analysis. Volume 191. n° 2. 2009. pages 347-385. Springer. DOI http://dx.doi.org/10.1007/s00205-008-0155-z.
• Tarantello, Gabriella ; Esteban, Maria J. ; Dolbeault, Jean . Multiplicity results for the assigned Gauss curvature problem in R2. Nonlinear Analysis: Theory, Methods & Applications. Volume 70. n° 8. 2009. pages 2870-2881. Elsevier. DOI http://dx.doi.org/10.1016/j.na.2008.12.040.
• Schmeiser, Christian ; Dolbeault, Jean . The two-dimensional Keller-Segel model after blow-up. Discrete and Continuous Dynamical Systems - Series A (DCDS-A). Volume 25. n° 1. 2009. pages 109-121. American Institute of Mathematical Sciences. DOI http://dx.doi.org/10.3934/dcds.2009.25.109.
• Dolbeault, Jean ; Mouhot, Clément ; Schmeiser, Christian . Hypocoercivity for kinetic equations with linear relaxation terms. Comptes rendus mathématique. Volume 347. n° 9-10. 2009. pages 511-516. Elsevier. DOI http://dx.doi.org/10.1016/j.crma.2009.02.025.

2008

Articles

• Blanchet, Adrien ; Dolbeault, Jean ; Kowalczyk, Michal . Travelling fronts in stochastic Stokes' drifts. Physica A: Statistical Mechanics and its Applications. Volume 387. n° 23. 2008. pages 5741-5751. Elsevier. DOI http://dx.doi.org/10.1016/j.physa.2008.06.011.
• Esteban, Maria J. ; Dolbeault, Jean ; Bosi, Roberta . Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators. Communications on Pure and Applied Mathematics. Volume 7. n° 3. 2008. pages 533–562.
• Fernandez, Javier ; Dolbeault, Jean . Localized minimizers of flat rotating gravitational systems. Annales de l'Institut Henri Poincaré (C) Analyse non linéaire. Volume 25. n° 6. 2008. pages 1043-1071. Elsevier Masson SAS.. DOI http://dx.doi.org/10.1016/j.anihpc.2007.01.001.
• Dolbeault, Jean ; Esteban, Maria J. ; Loss, Michael . Characterization of the critical magnetic field in the Dirac-Coulomb equation. Journal of Physics A: Mathematical and Theoretical. Volume 41. n° 18. 2008. pages 185-303. DOI http://dx.doi.org/10.1088/1751-8113/41/18/185303.
• Dolbeault, Jean ; Esteban, Maria J. ; Tarantello, Gabriella . The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions. Annali della Scuola Normale Superiore di Pisa, classe di scienze. Volume 7. n° 2. 2008. pages 313–341. Le Edizioni della Normale. DOI http://dx.doi.org/10.2422/2036-2145.2008.2.05.
• Savaré, Giuseppe ; Nazaret, Bruno ; Dolbeault, Jean . On the Bakry-Emery criterion for linear diffusions and weighted porous media equations. Communications in Mathematical Sciences. Volume 6. n° 2. 2008. pages 477-494. International Press.
• Dolbeault, Jean ; Laptev, Ari ; Loss, Michael . Lieb-Thirring inequalities with improved constants. Journal of the European Mathematical Society. Volume 10. 2008. pages 1121-1126.
• Mayorga-Zambrano, Juan ; Felmer, Patricio ; Dolbeault, Jean . Compactness properties for trace-class operators and applications to quantum mechanics. Monatshefte für Mathematik. Volume 155. n° 1. 2008. pages 43-66.
• Dolbeault, Jean ; Gentil, Ivan ; Guillin, Arnaud ; Wang, Feng-Yu . L^q-functional inequalities and weighted porous media equations.. Potential Analysis. Volume 28. n° 1. 2008. pages 35-39. Springer. DOI http://dx.doi.org/10.1007/s11118-007-9066-0.

2007

Articles

• Dolbeault, Jean ; Flores, Isabel . Geometry of phase space and solutions of semilinear elliptic equations in a ball. Transactions of the American Mathematical Society. n° 359. 2007. pages 4073-4087. American Mathematical Society. DOI http://dx.doi.org/10.1090/S0002-9947-07-04397-8.
• Dolbeault, Jean ; Esteban, Maria J. ; Loss, Michael . Relativistic hydrogenic atoms in strong magnetic fields. Annales Henri Poincaré. Volume 8. n° 4. 2007. pages 749-779. Springer. DOI http://dx.doi.org/10.1007/s00023-006-0321-5.
• Dolbeault, Jean ; Duoandikoetxea, Javier ; Esteban, Maria J. ; Vega, Luis . Hardy-type estimates for Dirac operators. Annales Scientifiques de l'École Normale Supérieure. Volume 40. n° 6. 2007. pages 885-900.
• Dolbeault, Jean ; Bartier, Jean-Philippe ; Arnold, Anton . Interpolation between logarithmic Sobolev and Poincaré inequalities. Communications in Mathematical Sciences. Volume 5. n° 4. 2007. pages 971-979.
• Kowalczyk, Michal ; Illner, Reinhard ; Dolbeault, Jean ; Bartier, Jean-Philippe . A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. Mathematical Models and Methods in Applied Sciences. Volume 17. n° 3. 2007. pages 327-362. World Scientific. DOI http://dx.doi.org/10.1142/S0218202507001942.
• Blanchet, Adrien ; Bonforte, Matteo ; Dolbeault, Jean ; Grillo, Gabriele ; Vazquez, Juan-Luis . Hardy-Poincaré inequalities and applications to nonlinear diffusions. Comptes rendus mathématique. Volume 344. n° 7. 2007. pages 431-436. Elsevier. DOI http://dx.doi.org/10.1016/j.crma.2007.01.011.
• Dolbeault, Jean ; Markowich, Peter ; Oelz, Dietmar ; Schmeiser, Christian . Nonlinear diffusions as limit of kinetic equations with relaxation collision kernels. Archive for Rational Mechanics and Analysis. Volume 186. n° 1. 2007. pages 133-158. Springer. DOI http://dx.doi.org/10.1007/s00205-007-0049-5.

2006

Articles

• Del Pino, Manuel ; Dolbeault, Jean ; Musso, Monica . Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Communications on Pure and Applied Analysis. Volume 5. n° 3. 2006. pages 463-482. American Institute of Mathematical Sciences. DOI http://dx.doi.org/10.3934/cpaa.2006.5.463.
• Blanchet, Adrien ; Dolbeault, Jean ; Monneau, Régis . On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. Journal de Mathématiques Pures et Appliquées. Volume 85. n° 3. 2006. pages 371-414. Elsevier. DOI http://dx.doi.org/10.1016/j.matpur.2005.08.007.
• Dolbeault, Jean ; Gentil, Ivan ; Jüngel, Ansgar . A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities. Communications in Mathematical Sciences. Volume 4. n° 2. 2006. pages 275-290. International Press.
• Juengel, Ansgar ; Gentil, Ivan ; Dolbeault, Jean ; Carrillo, José . Entropy-Energy inequalities and improved convergence rates for nonlinear parabolic equations. Discrete and Continuous Dynamical Systems - Series B (DCDS-B). Volume 6. n° 5. 2006. pages 1027-1050. Southwest Missouri State University Dept. of Mathematics. DOI http://dx.doi.org/10.3934/dcdsb.2006.6.1027.
• Paturel, Eric ; Dolbeault, Jean ; Felmer, Patricio ; Loss, Michael . Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems. Journal of Functional Analysis. Volume 238. n° 1. 2006. pages 193-220. Elsevier. DOI http://dx.doi.org/10.1016/j.jfa.2005.11.008.
• Blanchet, Adrien ; Dolbeault, Jean ; Perthame, Benoît . Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Electronic Journal of Differential Equations. Volume 44. 2006. pages 1-33. Texas State University.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators.. Journal of the European Mathematical Society. Volume 8. n° 2. 2006. pages 243-251. DOI http://dx.doi.org/10.4171/JEMS/50.
• Dolbeault, Jean ; Fernandez, Javier ; Sanchez, Oscar . Stability for the gravitational Vlasov-Poisson system in dimension two. Communications in Partial Differential Equations. Volume 31. n° 10. 2006. pages 1425-1449. Taylor & Francis Group. DOI http://dx.doi.org/10.1080/03605300500481517.
• Bartier, Jean-Philippe ; Dolbeault, Jean . Convex Sobolev inequalities and spectral gap. Comptes rendus mathématique. Volume 342. n° 5. 2006. pages 307-312. Académie des Sciences / Elsevier Masson SAS. DOI http://dx.doi.org/10.1016/j.crma.2005.12.004.

Conference Contributions

• Dolbeault, Jean ; Karch, Grzegorz . Large time behaviour of solutions to nonhomogeneous diffusion equations. Self-Similar Solutions of Nonlinear PDE. Bedlewo. Pologne. 2005.

2005

Articles

• Dolbeault, Jean ; Escobedo, Miguel . L1 and L8 intermediate asymptotics for scalar conservation laws. Asymptotic Analysis. Volume 41. n° 3-4. 2005. pages 189-213. IOS Press.
• Dolbeault, Jean ; Felmer, Patricio ; Monneau, Régis . Symmetry and non-uniformly elliptic operators. Differential and Integral Equations. Volume 18. n° 2. 2005. pages 141-154. Khayyam Publishing Company.
• Arnold, Anton ; Dolbeault, Jean . Refined convex Sobolev inequalities. Journal of Functional Analysis. Volume 225. n° 2. 2005. pages 337-351. Elsevier. DOI http://dx.doi.org/10.1016/j.jfa.2005.05.003.

Book chapters

• Monneau, Régis ; Dolbeault, Jean ; Blanchet, Adrien . On the one-dimensional parabolic obstacle problem with variable coefficients. Bandle, Catherine; Berestycki, Henry; Brighi, Bernhard. Elliptic and parabolic problems : A Special Tribute to the Work of Haim Brezis. Basel. 2005. pages 5-66.

2004

Articles

• Del Pino, Manuel ; Dolbeault, Jean ; Gentil, Ivan . Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality. Journal of Mathematical Analysis and Applications. Volume 293. n° 2. 2004. pages 375-388. Elsevier. DOI http://dx.doi.org/10.1016/j.jmaa.2003.10.009.
• Carrillo, José ; Dolbeault, Jean ; Markowich, Peter ; Sparber, Christof . On the Long-Time Behavior of the Quantum Fokker-Planck Equation. Monatshefte für Mathematik. Volume 141. n° 3. 2004. pages 237-257. Springer. DOI http://dx.doi.org/10.1007/s00605-003-0043-4.
• Musso, Monica ; Dolbeault, Jean ; Del Pino, Manuel . The Brezis–Nirenberg problem near criticality in dimension 3. Journal de mathématiques pures et appliquées. Volume 83. n° 12. 2004. pages 1405-1456. Elsevier. DOI http://dx.doi.org/10.1016/j.matpur.2004.02.007.
• Dolbeault, Jean ; Sanchez, Oscar ; Soler, Juan . Asymptotic Behaviour for the Vlasov-Poisson System in the Stellar-Dynamics Case. Archive for Rational Mechanics and Analysis. Volume 171. n° 3. 2004. pages 301-327. Springer. DOI http://dx.doi.org/10.1007/s00205-003-0283-4.
• Del Pino, Manuel ; Dolbeault, Jean ; Musso, Monica . A Phase Plane Analysis of the “Multi-Bubbling” Phenomenon in Some Slightly Supercritical Equations. Monatshefte für Mathematik. Volume 142. n° 1-2. 2004. pages 57-79. Springer. DOI http://dx.doi.org/10.1007/s00605-004-0236-5.
• Catto, Isabelle ; Dolbeault, Jean ; Benguria, Rafael ; Monneau, Régis . Oscillating minimizers of a fourth order problem invariant under scaling. Journal of Differential Equations. Volume 205. n° 1. 2004. pages 253-269. DOI http://dx.doi.org/10.1016/j.jde.2004.03.024.
• Lederman, Claudia ; Jüngel, Ansgar ; Arnold, Anton ; Carrillo, José ; Desvillettes, Laurent ; Dolbeault, Jean ; Markowich, Peter ; Toscani, Giuseppe ; Villani, Cédric . Entropies and Equilibria of Many-Particle Systems: An Essay on Recent Research. Monatshefte für Mathematik. Volume 142. n° 1-2. 2004. pages 35-43. Springer. DOI http://dx.doi.org/10.1007/s00605-004-0239-2.
• Loss, Michael ; Esteban, Maria J. ; Dolbeault, Jean ; Vega, Luis . An analytical proof of Hardy-like inequalities related to the Dirac operator. Journal of Functional Analysis. Volume 216. n° 1. 2004. pages 1-21. Elsevier. DOI http://dx.doi.org/10.1016/j.jfa.2003.09.010.
• Dolbeault, Jean ; Perthame, Benoît . Optimal critical mass in the two dimensional Keller–Segel model in R2. Comptes rendus mathématique. Volume 339. n° 9. 2004. pages 611-616. Elsevier. DOI http://dx.doi.org/10.1016/j.crma.2004.08.011.
• Felmer, Patricio ; Dolbeault, Jean . Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case. Nonlinear Analysis: Theory, Methods & Applications. Volume 58. n° 3-4. 2004. pages 299-317. Elsevier. DOI http://dx.doi.org/10.1016/j.na.2004.04.007.

Book chapters

• Biler, Piotr ; Dolbeault, Jean ; Esteban, Maria J. ; Markowich, Peter ; Nadzieja, Tadeusz . Steady states for Streater’s energy-transport models of self-gravitating particles. Ben Abdallah, Naoufel; Arnold, Anton; Degond, Pierre; Glassey, Robert; Levermore, David; Ringhofer, Christian. Transport in transition regimes. Berlin. 2004. pages 37-56.

Conference Contributions

• Del Pino, Manuel ; Dolbeault, Jean ; Musso, Monica . Duality in Sub-Supercritical Bubbling in the Brezis-Nirenberg Problem near the Critical Exponent. Partial differential equations and inverse problems : Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems. Santiago. Chili. 2003.
• Dolbeault, Jean ; Kinderlehrer, David ; Kowalczyk, Michal . Remarks about the Flashing Rachet. Partial differential equations and inverse problems : Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems, January 6-18, 2003, Santiago, Chile. Providence (RI). Chili. 2004.

2003

Articles

• Del Pino, Manuel ; Dolbeault, Jean . Asymptotic behavior of nonlinear diffusions. Mathematical research letters. Volume 10. n° 4. 2003. pages 551-557. International Press.
• Del Pino, Manuel ; Dolbeault, Jean ; Musso, Monica . "Bubble-tower" radial solutions in the slightly supercritical Brezis–Nirenberg problem. Journal of Differential Equations. Volume 193. n° 2. 2003. pages 280-306. Elsevier. DOI http://dx.doi.org/10.1016/S0022-0396(03)00151-7.
• Dolbeault, Jean ; Monneau, Régis . On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two. Annali della Scuola Normale Superiore di Pisa, classe di scienze. Volume 2. n° 1. 2003. pages 181-197. Scuola Normale Superiore di Pisa.
• Dolbeault, Jean ; Illner, Reinhard . Entropy methods for kinetic models of traffic flow. Communications in Mathematical Sciences. Volume 1. n° 3. 2003. pages 409-421. International Press. DOI http://projecteuclid.org/euclid.cms/1250880093.
• Caceres, Maria J. ; Carrillo, José ; Dolbeault, Jean . Nonlinear Stability in Lp for a Confined System of Charged Particles. SIAM Journal on Mathematical Analysis. Volume 34. n° 2. 2003. pages 478-494. SIAM. DOI http://dx.doi.org/10.1137/S0036141001398435.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . A variational method for relativistic computations in atomic and molecular physics. International Journal of Quantum Chemistry. Volume 93. n° 3. 2003. pages 149-155. Wiley. DOI http://dx.doi.org/10.1002/qua.10549.
• Ounaies, Hichem ; Dolbeault, Jean ; Balabane, Mikhaël . Nodal solutions for a sublinear elliptic equation. Nonlinear Analysis: Theory, Methods & Applications. Volume 52. n° 1. 2003. pages 219-237. Elsevier. DOI http://dx.doi.org/10.1016/S0362-546X(02)00104-9.
• Del Pino, Manuel ; Dolbeault, Jean . The optimal Euclidean Lp-Sobolev logarithmic inequality. Journal of Functional Analysis. Volume 197. n° 1. 2003. pages 151-161. Elsevier. DOI http://dx.doi.org/10.1016/S0022-1236(02)00070-8.
• Ben Abdallah, Naoufel ; Dolbeault, Jean . Relative Entropies for Kinetic Equations in Bounded Domains (Irreversibility, Stationary Solutions, Uniqueness). Archive for Rational Mechanics and Analysis. Volume 168. n° 4. 2003. pages 253-298. Springer. DOI http://dx.doi.org/10.1007/s00205-002-0239-0.

Book chapters

• Desclaux, J.P. ; Dolbeault, Jean ; Esteban, Maria J. ; Indelicato, P. ; Séré, Eric . Computational approaches of relativistic models in quantum chemistry. Le Bris, Claude. Handbook of Numerical Chemistry. . 2003. pages 453-483.

2002

Articles

• Ramaswamy, Mythily ; Esteban, Maria J. ; Dolbeault, Jean . Radial Singular Solutions of a Critical Problem in a Ball. Differential and Integral Equations. Volume 15. n° 1. 2002. pages 1459-1474. Khayyam Publishing Company.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators. Séminaire Équations aux dérivées partielles (dit "Goulaouic-Schwartz"). 2002. pages Exposé n°XVIII. Ecole Polytechnique.
• Lange, Horst ; Dolbeault, Jean ; Illner, Reinhard . On Asymmetric Quasiperiodic Solutions of Hartree–Fock Systems. Journal of Differential Equations. Volume 178. n° 2. 2002. pages 314-324. Elsevier. DOI http://dx.doi.org/10.1006/jdeq.2000.4014.
• Dolbeault, Jean ; Del Pino, Manuel . Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions. Journal de mathématiques pures et appliquées. Volume 81. n° 9. 2002. pages 847-875. Elsevier. DOI http://dx.doi.org/10.1016/S0021-7824(02)01266-7.
• Biler, Piotr ; Dolbeault, Jean ; Esteban, Maria J. . Intermediate asymptotics in L1 for general nonlinear diffusion equations. Applied Mathematics Letters. Volume 15. n° 1. 2002. pages 101-107. Elsevier. DOI http://dx.doi.org/10.1016/S0893-9659(01)00100-8.
• Del Pino, Manuel ; Dolbeault, Jean . Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian. Comptes rendus mathématique. Volume 334. n° 5. 2002. pages 365-370. Elsevier. DOI http://dx.doi.org/10.1016/S1631-073X(02)02225-2.
• Dolbeault, Jean ; Monneau, Régis . Convexity estimates for nonlinear elliptic equations and application to free boundary problems. Annales de l'Institut Henri Poincaré (C) Analyse non linéaire. Volume 19. n° 6. 2002. pages 903-926. Elsevier. DOI http://dx.doi.org/10.1016/S0294-1449(02)00106-3.

Working Papers

• Dolbeault, Jean ; Kinderlehrer, David ; Kowalczyk, Michal . The flashing ratchet: long time behavior and dynamical systems interpretation. Université Paris-Dauphine . 2002 .

2001

Articles

• Biler, Piotr ; Dolbeault, Jean ; Markowich, Peter . Large Time Asymptotic of Nonlinear Drift-Diffusion Systems with Poisson Coupling. Transport Theory and Statistical Physics. Volume 30. n° 4-6. 2001. pages 521-536. Taylor & Francis. DOI http://dx.doi.org/10.1081/TT-100105936.
• Karch, Grzegorz ; Biler, Piotr ; Dolbeault, Jean ; Esteban, Maria J. . Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater's models. Advances in Differential Equations. Volume 6. n° 4. 2001. pages 461-480. Khayyam Publishing Company Inc..
• Dolbeault, Jean ; Rein, Gerhard . Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics. Mathematical Models and Methods in Applied Sciences. Volume 11. n° 3. 2001. pages 407-432. World Scientific. DOI http://dx.doi.org/10.1142/S021820250100091X.
• Unterreiter, Andreas ; Markowich, Peter ; Dolbeault, Jean . On Singular Limits of Mean-Field Equations. Archive for Rational Mechanics and Analysis. Volume 158. n° 4. 2001. pages 319-351. Springer. DOI http://dx.doi.org/10.1007/s002050100148.

2000

Articles

• Benguria, Rafael ; Dolbeault, Jean ; Esteban, Maria J. . Classification of the Solutions of Semilinear Elliptic Problems in a Ball. Journal of Differential Equations. Volume 167. n° 2. 2000. pages 438-466. Elsevier. DOI http://dx.doi.org/10.1006/jdeq.2000.3792.
• Biler, Piotr ; Dolbeault, Jean . Long Time Behavior of Solutions to Nernst-Planck and Debye-Hückel Drift-Diffusion Systems. Annales Henri Poincaré. Volume 1. n° 3. 2000. pages 461-472. Springer. DOI http://dx.doi.org/10.1007/s000230050003.
• Ben Abdallah, Naoufel ; Dolbeault, Jean . Relative entropies for the Vlasov–Poisson system in bounded domains. Comptes Rendus de l’Académie des Sciences - Series I - Mathematics. Volume 330. n° 10. 2000. pages 867-872. Elsevier. DOI http://dx.doi.org/10.1016/S0764-4442(00)00268-8.
• Dolbeault, Jean . Monokinetic charged particle beams: qualitative behavior of the solutions of the Cauchy problem and 2d time-periodic solutions of the Vlasov-Poisson system. Communications in Partial Differential Equations. Volume 25. n° 9-10. 2000. pages 1567-1647. Taylor & Francis. DOI http://dx.doi.org/10.1080/03605300008821567.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . Variational characterization for eigenvalues of Dirac operators. Calculus of Variations and Partial Differential Equations. Volume 10. n° 4. 2000. pages 321-347. Springer. DOI http://dx.doi.org/10.1007/s005260010321.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric ; Vanbreugel, Michel . Minimization Methods for the One-Particle Dirac Equation. Physical Review Letters. Volume 85. n° 19. 2000. pages 4020-4023. American Physical Society. DOI http://dx.doi.org/10.1103/PhysRevLett.85.4020.
• Dolbeault, Jean ; Felmer, Patricio . Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE's. Communications in Partial Differential Equations. Volume 25. n° 5-6. 2000. pages 1153-1169. Taylor & Francis. DOI http://dx.doi.org/10.1080/03605300008821545.
• Dolbeault, Jean . Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models. Transport Theory and Statistical Physics. Volume 29. n° 3 et 5. 2000. pages 537-549. Taylor & Francis. DOI http://dx.doi.org/10.1080/00411450008205890.
• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . On the Eigenvalues of Operators with Gaps. Application to Dirac Operators. Journal of Functional Analysis. Volume 174. n° 1. 2000. pages 208-226. Elsevier. DOI http://dx.doi.org/10.1006/jfan.1999.3542.
• Cafarelli, Luis ; Dolbeault, Jean ; Markowich, Peter ; Schmeiser, Christian . On Maxwellian equilibria of insulated semiconductors. Interfaces and free boundaries. Volume 2. n° 3. 2000. pages 331-339. European Mathematical Society. DOI http://dx.doi.org/10.4171/IFB/23.

Conference Contributions

• Dolbeault, Jean ; Esteban, Maria J. ; Séré, Eric . Variational Methods in Relativistic Quantum Mechanics: New Approach to the Computation of Dirac Eigenvalues. 4th International Conference on Industrial and Applied Mathematics (ICIAM 1999). Edimbourg. Royaume-Uni. 1999.

1999

Articles

• Dolbeault, Jean . Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (Large time behavior and steady states). Journal de mathématiques pures et appliquées. Volume 78. n° 2. 1999. pages 121-157. Elsevier. DOI http://dx.doi.org/10.1016/S0021-7824(01)80006-4.
• Dolbeault, Jean ; Felmer, Patricio . Symétrie des solutions d'équations semi-linéaires elliptiques. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. Volume 329. n° 8. 1999. pages 677-682. Elsevier. DOI http://dx.doi.org/10.1016/S0764-4442(00)88216-6.

Working Papers

• Dolbeault, Jean ; Del Pino, Manuel . Generalized Sobolev Inequalities and Asymptotic Behaviour in Fast Diffusion and Porous Medium Problems. Université Paris-Dauphine . 1999 .
• Dolbeault, Jean . Time-Dependent Rescalings and Dispersion for the Boltzmann Equation. Université Paris-Dauphine . 1999 .