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.

Documents de travail

• Esteban, Maria J. ; Dolbeault, Jean . Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations. 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 .
• 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 .

2012

Articles

• Rota Nodari, Simona ; Esteban, Maria J. . Ground States for a Stationary Mean-Field Model for a Nucleon. Annales Henri Poincaré. 2012. Springer. DOI http://dx.doi.org/10.1007/s00023-012-0211-y.
• 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.

Documents de travail

• Rota Nodari, Simona ; Esteban, Maria J. . Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit. Université Paris-Dauphine . 2012 .
• Esteban, Maria J. . Une revue sur quelques inégalités fonctionnelles et les propriétés de symétrie pour leurs fonctions extrémales. 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

• 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.

2010

Articles

• Esteban, Maria J. ; Felmer, Patricio ; Quaas, Alexander . Eigenvalues for Radially Symmetric Fully Nonlinear Operators. Communications in Partial Differential Equations. Volume 35. n° 9. 2010. pages 1716-1737. Taylor & Francis. DOI http://dx.doi.org/10.1080/03605301003674848.
• Quaas, Alexander ; Felmer, Patricio ; Esteban, Maria J. . Super-linear elliptic equation for the Pucci operator without growth restrictions for the data. Proceedings of the Edinburgh Mathematical Society (Series 2). Volume 53. n° 1. 2010. pages 125-141. Cambridge University Press. DOI http://dx.doi.org/10.1017/S0013091507001393.
• Savin, Andreas ; Lewin, Mathieu ; Esteban, Maria J. . Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit. Nonlinearity. Volume 23. n° 4. 2010. pages 767-791. Institute of Physics. DOI http://dx.doi.org/10.1088/0951-7715/23/4/001.

Communications / Conférences

• 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.

Documents de travail

• 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.
• 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.

2008

Articles

• Esteban, Maria J. . Some mathematical and numerical problems in relativistic quantum mechanics. Bollettino dell'Unione Matematica Italiana. Volume (9) 1. n° 3. 2008. pages 683-693.
• 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.
• 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.
• Esteban, Maria J. ; Lewin, Mathieu ; Séré, Eric . Variational methods in relativistic quantum mechanics. Bulletin of the American Mathematical Society. Volume 45. n° 4. 2008. pages 535–593. American Mathematical Society. DOI http://dx.doi.org/10.1090/S0273-0979-08-01212-3.

Communications / Conférences

• Esteban, Maria J. ; Loss, Michael . Self-adjointness via Hardy-like inequalities. Mathematical Results in Quantum Mechanics: Proceedings of the QMath10 Conference, Moieciu, Romania, 10-15 September 2007. Moeciu. Roumanie. 2008.

2007

Articles

• 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.
• Quaas, Alexander ; Felmer, Patricio ; Esteban, Maria J. . Large critical exponents for some second order uniformly elliptic operators.. Communications in Partial Differential Equations. Volume 32. n° 4. 2007. pages 543-556. Routledge Taylor & Francis. DOI http://dx.doi.org/10.1080/03605300500394397.
• Loss, Michael ; Esteban, Maria J. . Self-adjointness for Dirac operators via Hardy-Dirac inequalities. Journal of Mathematical Physics. Volume 48. n° 11. 2007. pages 112107. American Institute of Physics. DOI http://dx.doi.org/10.1063/1.2811950.
• 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.

Communications / Conférences

• Esteban, Maria J. . A short review on computational issues arising in relativistic atomic and molecular physics. High dimensional PDEs. Providence, RI. Canada. 2007.

2006

Articles

• Buffoni, Boris ; Esteban, Maria J. ; Séré, Eric . Normalized solutions to strongly indefinite semilinear equations. Advanced nonlinear studies. Volume 6. n° 2. 2006. pages 323-347.
• 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.

Communications / Conférences

• Esteban, Maria J. ; Séré, Eric . Dirac-Fock models for atoms and molecules and related topics. XIVth International Congress on Mathematical Physics: Lisbon 28 July - 2 August 2003. Lisbon. Portugal. 2006.

2005

Articles

• Chambolle, Antonin ; Desjardins, Benoît ; Esteban, Maria J. ; Grandmont, Céline . Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate. Journal of Mathematical Fluid Mechanics. Volume 7. n° 3. 2005. pages 368-404. Springer. DOI http://dx.doi.org/10.1007/s00021-004-0121-y.
• Adimurthi, N.C. ; Esteban, Maria J. . An improved Hardy-Sobolev inequality in W1,p and its application to Schrödinger operators. NoDEA: Nonlinear Differential Equations and Applications. Volume 12. n° 2. 2005. pages 243-263. Springer. DOI http://dx.doi.org/10.1007/s00030-005-0009-4.
• Quaas, Alexander ; Esteban, Maria J. ; Busca, Jérôme . Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator. Annales de l'Institut Henri Poincaré (C) Analyse non linéaire. Volume 22. n° 2. 2005. pages 187-206. Elsevier. DOI http://dx.doi.org/10.1016/j.anihpc.2004.05.004.
• Séré, Eric ; Esteban, Maria J. ; Barbaroux, Jean-Marie . Some connections between Dirac-Fock and Electron-Positron Hartree-Fock. Annales Henri Poincaré. Volume 6. n° 1. 2005. pages 85-102. DOI http://dx.doi.org/10.1007/s00023-005-0199-7.

2004

Articles

• 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.
• Esteban, Maria J. . Existence of 3D Skyrmions. Communications in Mathematical Physics. Volume 251. n° 1. 2004. pages 209-210. DOI http://dx.doi.org/10.1007/s00220-004-1139-y.

Chapitres d'ouvrage

• 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.

2003

Articles

• 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.

Chapitres d'ouvrage

• 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.
• 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.

Communications / Conférences

• Esteban, Maria J. ; Séré, Eric . A max-min principle for the ground state of the Dirac-Fock functional. Conference on mathematical results in quantum mechanics (QMATH-8). Taxco. Mexique. 2001.

2001

Articles

• Esteban, Maria J. ; Séré, Eric . Nonrelativistic Limit of the Dirac-Fock Equations. Annales Henri Poincaré. Volume 2. n° 5. 2001. pages 941-961. Springer. DOI http://dx.doi.org/10.1007/s00023-001-8600-7.
• Grandmont, Céline ; Esteban, Maria J. ; Desjardins, Benoît ; Le Tallec, Patrick . Weak Solutions for a Fluid-Elastic Structure Interaction Model. Revista Matematica Complutense. Volume 14. n° 2. 2001. pages 523-538. Facultad de Ciencias Matemáticas UCM - Madrid.
• 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..

2000

Articles

• Esteban, Maria J. ; Giacomoni, Jacques . Existence of global branches of positive solutions for semilinear elliptic degenerate problems. Journal de mathématiques pures et appliquées. Volume 79. n° 7. 2000. pages 715-740. Elsevier. DOI http://dx.doi.org/10.1016/S0021-7824(00)00104-5.
• Esteban, Maria J. ; Desjardins, Benoît . On Weak Solutions for Fluid­ Rigid Structure Interaction:Compressible and Incompressible Models. Communications in Partial Differential Equations. Volume 25. n° 7-8. 2000. pages 263-285. Taylor & Francis. DOI http://dx.doi.org/10.1080/03605300008821553.
• 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.
• 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 ; 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.

Communications / Conférences

• 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

• Esteban, Maria J. ; Séré, Eric . Solutions of the Dirac-Fock Equations for Atoms and Molecules. Communications in Mathematical Physics. Volume 203. n° 3. 1999. pages 499-530. Springer. DOI http://dx.doi.org/10.1007/s002200050032.
• Desjardins, Benoît ; Esteban, Maria J. . Existence of Weak Solutions for the Motion of Rigid Bodies in a Viscous Fluid. Archive for Rational Mechanics and Analysis. Volume 146. n° 1. 1999. pages 59-71. Springer. DOI http://dx.doi.org/10.1007/s002050050136.

1997

Chapitres d'ouvrage

• Séré, Eric ; Esteban, Maria J. . Existence and multiplicity of solutions for linear and nonlinear Dirac problems. Seco, Luis A.; Ivrii, Victor; Sulem, Catherine; Greiner, Peter C.. Partial differential equations and their applications. Providence (RI). 1997. pages 107-118.

1996

Articles

• Esteban, Maria J. ; Georgiev, Vladimir ; Séré, Eric . Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. Calculus of Variations and Partial Differential Equations. Volume 4. n° 3. 1996. pages 265-281. Springer. DOI http://dx.doi.org/10.1007/BF01254347.
• Esteban, Maria J. ; Georgiev, Vladimir ; Séré, Eric . Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems. Letters in Mathematical Physics. Volume 38. n° 2. 1996. pages 217-220. Springer. DOI http://dx.doi.org/10.1007/BF00398323.

1995

Articles

• Bellomo, Nicola ; Esteban, Maria J. ; Lachowicz, Miroslaw . Nonlinear kinetic equations with dissipative collisions. Applied Mathematics Letters. Volume 8. n° 5. 1995. pages 47-52. Elsevier. DOI http://dx.doi.org/10.1016/0893-9659(95)00065-X.