Publications récentes de Maria J. Esteban : 

About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities Dolbeault J., Esteban M. J. [hal-00539019 - version 1] (23/11/2010) Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants Dolbeault J., Esteban M. J. [hal-00521677 - version 1] (28/09/2010) Radial symmetry and symmetry breaking for some interpolation inequalities Dolbeault J., Esteban M. J., Tarantello G., Tertikas A. [hal-00516710 - version 1] (10/09/2010) Eigenvalues for radially symmetric non-variational fully nonlinear operators Esteban M. J., Felmer P., Quaas A. Communications in Partial Differential Equations 35, 9 (2010) 1716 – 1737 [hal-00409427 - version 1] Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities Dolbeault J., Esteban M. J. [hal-00496936 - version 1] (01/07/2010) Super-linear elliptic equation for the Pucci operator without growth restrictions for the data Esteban M. J., Felmer P., Quaas A. Proceedings of the Edinburgh Mathematical Society 53, 01 (2010) 125-141 [hal-00195081 - version 1] Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit Esteban M. J., Lewin M., Savin A. Nonlinearity 23 (2010) 767-791 [hal-00425326 - version 2] On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities Dolbeault J., Esteban M. J., Loss M., Tarantello G. advanced nonlinear studies 9 (2009) 713-727 [hal-00402961 − version 2] Multiplicity results for the assigned Gauss curvature problem in R2 Dolbeault J., Esteban M. J., Tarantello G. Nonlinear Analysis TMA 70, 8 (2009) 2870-2881 [hal-00323700 − version 1] Self-adjointness via Hardy-like inequalities Esteban M. J., Loss M. Dans Mathematical results in Quantum Mechanics. Proceedings of the QMath10 Conference - QMATH10, Roumanie (2007) [hal-00283411 − version 1]

Variational methods in relativistic quantum mechanics Esteban M. J., Lewin M., Séré E. Bull. Amer. Math. Soc. (N.S.) 45, 4 (2008) 535–593 [hal-00156710 − version 2] Characterization of the critical magnetic field in the Dirac-Coulomb equation Dolbeault J., Esteban M. J., Loss M. Journal of Physics A General Physics 41 (2008) 185303 [hal-00201095 − version 1] The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions Dolbeault J., Esteban M. J., Tarantello G. Annali della Scuola Normale Superiore di Pisa 7 (2008) 313-341 [hal-00139062 − version 1] Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators Bosi R., Dolbeault J., Esteban M. J. Communications on Pure and Applied Mathematics 7 (2008) 533-562 [hal-00113158 − version 1] Self-adjointness for Dirac operators via Hardy-Dirac inequalities)(Self-adjointness of Dirac operators via Hardy-Dirac inequalities Esteban M. J., Loss M. Journal of Mathematical Physics 48, 11 (2007) 112107 [hal-00153338 − version 1] Hardy-type estimates for Dirac operators Dolbeault J., Duoandikoetxea J., Esteban M. J., Vega L. Annales Scientifiques de l'École Normale Supérieure / Annales Scientifiques de l¼École Normale Supérieure; Annales Scientifiques de l¼tcole Normale Supérieure 40, 6 (2007) 885-900 [hal-00112858 - version 1] Relativistic hydrogenic atoms in strong magnetic fields Dolbeault J., Esteban M. J., Loss M. Annales Henri Poincaré 8, 4 (2007) 749-779 [hal-00083501 − version 1] Large critical exponents for some second order uniformly elliptic operators. Esteban M. J., Felmer P., Quaas A. Communications in Partial Differential Equations 32, 4 (2007) 543-556 [hal-00012841 − version 1] General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators. Dolbeault J., Esteban M. J., Séré E. Journal of the European Mathematical Society 8, 2 (2006) 243-251 [hal-00012837 − version 1] Dirac-Fock models for atoms and molecules and related topics Esteban M. J., Séré E. Dans XIVth International Congress on Mathematical Physics - XIVth International Congress on Mathematical Physics, Portugal (2003) [hal-00012847 − version 1]

Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator Busca J., Esteban M. J., Quaas A. Annales de l'Institut Henri Poincaré - Analyse non linéaire 22 (2005) 187-206 [hal-00002868 − version 1] Some connections between Dirac-Fock and Electron-Positron Hartree-Fock Barbaroux J.-M., Esteban M. J., Séré E. [hal-00002869 − version 1] (2004-09-17) Some connections between Dirac-Fock and Electron-Positron Hartree-Fock Barbaroux J.-M., Esteban M. J., Séré E. Annales de l'Institut Henri Poincare Physique Theorique 6,No.1 (2005) 85-102 [hal-00012913 − version 1]

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