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hal-00201095v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss. Characterization of the critical magnetic field in the Dirac-Coulomb equation
Journal of Physics A General Physics, Institute of Physics (IOP), 2008, 41, pp.185303
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hal-00283411v1  Communication dans un congrès
Maria J. Esteban, Michael Loss. Self-adjointness via Hardy-like inequalities
Ingrid Beltita, Gheorghe Nenciu & Radu Purice. QMATH10, 2007, Moeciu, Romania. World Scientific, pp.41-47, 2008
hal-00359913v1  Communication dans un congrès
Maria J. Esteban. A short review on computational issues arising in relativistic atomic and molecular physics
High dimensional PDEs, 2005, Montréal, Canada. 41, pp.105-116, 2006, CRM Proceedings and Lectures Notes
hal-00359921v1  Direction d'ouvrage, Proceedings
Maria J. Esteban, Claude Le Bris, Gustavo Scuseria. Mathematical and Numerical Aspects of Quantum Chemistry Problems. Oberwolfach reports 3(4)
European Mathematical Society Publishing House, pp.74, 2006
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hal-00156710v2  Article dans une revue
Maria J. Esteban, Mathieu Lewin, Eric Séré. Variational methods in relativistic quantum mechanics
Bull. Amer. Math. Soc. (N.S.), 2008, 45 (4), pp.535-593
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hal-01286546v1  Pré-publication, Document de travail
Jean Dolbeault, Maria J. Esteban, Michael Loss. Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
2016
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hal-00867909v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, Michael Loss. Improved interpolation inequalities on the sphere
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2014, 7 (4), pp.695-724
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hal-00012837v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré. 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, European Mathematical Society, 2006, 8 (2), pp.243-251
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hal-00857955v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Ari Laptev, Michael Loss. One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows
Journal of the London Mathematical Society, London Mathematical Society, 2014, 90 (2), pp.525-550
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hal-01395771v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss. Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization
Journal of Elliptic and Parabolic Equations, 2016, 2, pp.267-295
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hal-00739140v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, Michael Loss. Sharp interpolation inequalities on the sphere : new methods and consequences
Chinese Annals of Mathematics, Series B, 2013, 34 (1), pp.99-112. <10.1007/s11401-012-0756-6>
hal-00359909v1  Article dans une revue
Boris Buffoni, Maria J. Esteban, Eric Séré. Normalized solutions to strongly indefinite semilinear equations
advanced nonlinear studies, 2006, 6 (2), pp.323-347
hal-00359928v1  Article dans une revue
Maria J. Esteban. Some mathematical and numerical problems in relativistic quantum mechanics
Bollettino dell'Unione Matematica Italiana (9), 2008, 1 (3), pp.683-693
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hal-00402961v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss, Gabriella Tarantello. On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
advanced nonlinear studies, 2009, 9, pp.713-727
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hal-01137403v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss. Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders
Comptes rendus - Mathematique, 2015, 353 (9), pp.813-818
hal-00573855v1  Communication dans un congrès
Maria J. Esteban, Eric Séré. A max-min principle for the ground state of the Dirac-Fock functional.
Ricardo Weder, Pavel Exner, Benoit Grébert. Mathematical results in quantum mechanics, 2001, Taxco, Mexico. AMS, pp.135-141, 2002, Contemporary Mathematics
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hal-00496936v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban. Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
Proc. Edinburgh A, 2012, 142A, pp.745-767
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hal-00139062v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello. 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, 2008, 7, pp.313-341
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hal-00539019v1  Communication dans un congrès
Jean Dolbeault, Maria J. Esteban. About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities
The Abel Symposium 2010, 2010, Norway. 7, pp.117-130, 2012
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hal-01089318v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Stathis Filippas, Achiles Tertikas. Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
Calculus of Variations and Partial Differential Equations, 2015, pp.10.1007/s00526-015-0871-9
hal-00573854v1  Chapitre d'ouvrage
Jean-Paul Desclaux, Jean Dolbeault, Maria J. Esteban, Paul Indelicato, Eric Séré. Computational approaches of relativistic models in quantum chemistry
P.G. Ciarlet (series editor), C. Le Bris (guest editor). Handbook of numerical analysis, Vol. X. Special volume: computational chemistry., North-Holland, Amsterdam, pp.453-483, 2003, Handbook of numerical analysis
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hal-00521677v1  Communication dans un congrès
Jean Dolbeault, Maria J. Esteban. Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants
QMath11 Conference Mathematical Results in Quantum Physics, 2010, Czech Republic. pp.178-182, 2011
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hal-00626739v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss. Symmetry of extremals of functional inequalities via spectral estimates for linear operators
Jounal of mathematical physics, 2012, 53(P), pp.095204
hal-00453382v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré. A variational method for relativistic computations in atomic and molecular physics
International Journal of Quantum Chemistry, Wiley, 2003, pp.149-155
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hal-01162902v2  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Michael Loss. Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
Inventiones Mathematicae, Springer Verlag, 2016, 206 (2), pp.397-440
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hal-00684839v1  Article dans une revue
Maria J. Esteban. Une revue sur quelques inégalités fonctionnelles et les propriétés de symétrie pour leurs fonctions extrémales
Séminaire Laurent Schwartz "EDP et applications", 2011, 2011-2012, Exp. No. 29, 13 p
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hal-00012847v1  Communication dans un congrès
Maria J. Esteban, Eric Séré. Dirac-Fock models for atoms and molecules and related topics
XIVth International Congress on Mathematical Physics, 2003, Lisbon, Portugal. World Sci. Publ., Hackensack, NJ, pp.21-28, 2005
hal-00012913v1  Article dans une revue
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
Annales de l'Institut Henri Poincare Physique Theorique, 2005, 6,No.1, pp.85-102
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hal-01467766v1  Pré-publication, Document de travail
Maria J. Esteban, Mathieu Lewin, Eric Séré. Domains for Dirac-Coulomb min-max levels
2017
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hal-00002869v1  Pré-publication, Document de travail
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
old submission: math-ph/0402058. 2004
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