Dolbeault, Jean; Esteban, Maria J.; Figalli, Alessio; Frank, Rupert; Loss, Michael A short review on Improvements and stability for some interpolation inequalities. arXiv:2402.08527 Preprint, arXiv:2402.08527 [math.AP] (2024). MSC: 49J40 26D10 35A23 58E35 BibTeX Cite \textit{J. Dolbeault} et al., ``A short review on Improvements and stability for some interpolation inequalities'', Preprint, arXiv:2402.08527 [math.AP] (2024) Full Text: arXiv OA License
Dolbeault, Jean; Esteban, Maria J.; Séré, Éric Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators. (English) Zbl 07761493 J. Spectr. Theory 13, No. 2, 491-524 (2023). MSC: 47B25 47A75 49R50 81Q10 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Spectr. Theory 13, No. 2, 491--524 (2023; Zbl 07761493) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators”. (English) Zbl 1509.47007 J. Funct. Anal. 284, No. 1, Article ID 109651, 6 p. (2023). MSC: 47A10 47B25 47A75 49R05 81Q10 65L60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Funct. Anal. 284, No. 1, Article ID 109651, 6 p. (2023; Zbl 1509.47007) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Figalli, Alessio; Frank, Rupert L.; Loss, Michael Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence. arXiv:2209.08651 Preprint, arXiv:2209.08651 [math.AP] (2022). MSC: 49J40 26D10 35A23 BibTeX Cite \textit{J. Dolbeault} et al., ``Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence'', Preprint, arXiv:2209.08651 [math.AP] (2022) Full Text: arXiv OA License
Esteban, Maria J.; Lewin, Mathieu; Séré, Éric Dirac-Coulomb operators with general charge distribution. I: Distinguished extension and min-max formulas. (Opérateurs de Dirac avec distribution de charge arbitraire. I: Extension distinguée et formules de min-max.) (English. French summary) Zbl 1486.81094 Ann. Henri Lebesgue 4, 1421-1456 (2021). MSC: 81Q05 81R25 81R20 47A10 47B25 49J35 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Ann. Henri Lebesgue 4, 1421--1456 (2021; Zbl 1486.81094) Full Text: DOI arXiv
Esteban, Maria J.; Lewin, Mathieu; Séré, Éric Dirac-Coulomb operators with general charge distribution. II: The lowest eigenvalue. (English) Zbl 1481.35292 Proc. Lond. Math. Soc. (3) 123, No. 4, 345-383 (2021). MSC: 35P05 35A15 49J35 49R05 81Q10 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Proc. Lond. Math. Soc. (3) 123, No. 4, 345--383 (2021; Zbl 1481.35292) Full Text: DOI arXiv
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). (English) Zbl 1499.81058 Rev. Math. Phys. 33, No. 3, Article ID 2150006, 29 p. (2021). MSC: 81Q70 81Q10 35Q60 35Q40 49K30 35P30 35J10 35Q55 46N50 35J20 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Rev. Math. Phys. 33, No. 3, Article ID 2150006, 29 p. (2021; Zbl 1499.81058) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Symmetry and symmetry breaking: rigidity and flows in elliptic PDES. (English) Zbl 1453.35066 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2261-2285 (2018). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J20 49K30 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2261--2285 (2018; Zbl 1453.35066) Full Text: DOI arXiv
Esteban, Maria J. Nonlinear flows and optimality for functional inequalities: an extended abstract. (English) Zbl 1396.58023 Manchanda, Pammy (ed.) et al., Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Singapore: Springer (ISBN 978-981-10-3757-3/hbk; 978-981-10-3758-0/ebook). Industrial and Applied Mathematics, 21-26 (2017). MSC: 58J35 49K30 35J61 PDFBibTeX XMLCite \textit{M. J. Esteban}, in: Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29--31, 2016. Singapore: Springer. 21--26 (2017; Zbl 1396.58023) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) (English. French summary) Zbl 1379.49009 C. R., Math., Acad. Sci. Paris 355, No. 2, 133-154 (2017). MSC: 49J40 46M35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., C. R., Math., Acad. Sci. Paris 355, No. 2, 133--154 (2017; Zbl 1379.49009) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization. (English) Zbl 1386.35174 J. Elliptic Parabol. Equ. 2, No. 1-2, 267-295 (2016). MSC: 35K55 35B06 49K30 35J60 35J20 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Elliptic Parabol. Equ. 2, No. 1--2, 267--295 (2016; Zbl 1386.35174) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. (English) Zbl 1379.49021 Invent. Math. 206, No. 2, 397-440 (2016). Reviewer: Antonio De Nicola (Fisciano) MSC: 49K30 35J20 35A23 53C21 49Q20 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Invent. Math. 206, No. 2, 397--440 (2016; Zbl 1379.49021) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. (English) Zbl 1336.26023 Calc. Var. Partial Differ. Equ. 54, No. 3, 2465-2481 (2015). Reviewer: Javier Soria (Barcelona) MSC: 26D10 46E35 35J20 49J40 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 54, No. 3, 2465--2481 (2015; Zbl 1336.26023) Full Text: DOI arXiv
Dolbeault, J.; Esteban, M. J. A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1267.65075 J. Numer. Math. 20, No. 3-4, 233-249 (2012). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{M. J. Esteban}, J. Numer. Math. 20, No. 3--4, 233--249 (2012; Zbl 1267.65075) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella; Tertikas, Achilles Radial symmetry and symmetry breaking for some interpolation inequalities. (English) Zbl 1246.26014 Calc. Var. Partial Differ. Equ. 42, No. 3-4, 461-485 (2011). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 46E35 49J40 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 42, No. 3--4, 461--485 (2011; Zbl 1246.26014) Full Text: DOI arXiv
Esteban, Maria J.; Felmer, Patricio L.; Quaas, Alexander Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data. (English) Zbl 1228.35102 Proc. Edinb. Math. Soc., II. Ser. 53, No. 1, 125-141 (2010). MSC: 35J60 49L25 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Proc. Edinb. Math. Soc., II. Ser. 53, No. 1, 125--141 (2010; Zbl 1228.35102) Full Text: DOI arXiv
Esteban, Maria J.; Lewin, Mathieu; Séré, Eric Variational methods in relativistic quantum mechanics. (English) Zbl 1288.49016 Bull. Am. Math. Soc., New Ser. 45, No. 4, 535-593 (2008). MSC: 49S05 35J60 35P30 35Q75 81Q05 81V70 81V45 81V55 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Bull. Am. Math. Soc., New Ser. 45, No. 4, 535--593 (2008; Zbl 1288.49016) Full Text: DOI arXiv
Esteban, Maria J. (ed.); Le Bris, Claude (ed.); Scuseria, Gustavo (ed.) Mathematical and numerical aspects of quantum chemistry problems. Abstracts from the workshop held October 22–28, 2006. (English) Zbl 1177.81149 Oberwolfach Rep. 3, No. 4, 2805-2874 (2006). MSC: 81V55 35A15 35Q40 35Q60 35A35 35J60 35Q75 49S05 49J35 65C05 00B05 PDFBibTeX XMLCite \textit{M. J. Esteban} (ed.) et al., Oberwolfach Rep. 3, No. 4, 2805--2874 (2006; Zbl 1177.81149) Full Text: DOI Link
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. (English) Zbl 1157.47306 J. Eur. Math. Soc. (JEMS) 8, No. 2, 243-251 (2006). MSC: 47B25 47A10 47A75 49R50 81Q10 65L60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Eur. Math. Soc. (JEMS) 8, No. 2, 243--251 (2006; Zbl 1157.47306) Full Text: DOI arXiv
Esteban, Maria J.; Séré, Eric On some linear and nonlinear eigenvalue problems in relativistic quantum chemistry. (English) Zbl 1040.81100 Benci, V. (ed.) et al., Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Basel: Birkhäuser (ISBN 0-8176-4278-1). Prog. Nonlinear Differ. Equ. Appl. 49, 15-27 (2002). Reviewer: Eugene Kryachko (Liège) MSC: 81V55 81V70 35Q55 49R50 81V45 81Q05 49S05 47A75 PDFBibTeX XMLCite \textit{M. J. Esteban} and \textit{E. Séré}, Prog. Nonlinear Differ. Equ. Appl. 49, 15--27 (2002; Zbl 1040.81100)
Esteban, Maria J.; Séré, Eric An overview on linear and nonlinear Dirac equations. (English) Zbl 1162.49307 Discrete Contin. Dyn. Syst. 8, No. 2, 381-397 (2002). MSC: 49S05 81Q05 35J60 35P30 35P05 35Q75 49R50 81V70 81V45 PDFBibTeX XMLCite \textit{M. J. Esteban} and \textit{E. Séré}, Discrete Contin. Dyn. Syst. 8, No. 2, 381--397 (2002; Zbl 1162.49307) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric Variational methods in relativistic quantum mechanics: New approach to the computation of Dirac eigenvalues. (English) Zbl 1015.81016 Defranceschi, M. (ed.) et al., Mathematical models and methods for ab initio quantum chemistry. Berlin: Springer. Lect. Notes Chem. 74, 211-226 (2000). MSC: 81Q05 81-04 49R50 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Lect. Notes Chem. 74, 211--226 (2000; Zbl 1015.81016)
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric On the eigenvalues of operators with gaps. Application to Dirac operators. (English) Zbl 0982.47006 J. Funct. Anal. 174, No. 1, 208-226 (2000); corrigendum ibid. 284, No. 1, Article ID 109651, 6 p. (2023). Reviewer: Mahmoud Kutkut (Amman) MSC: 47A10 47B25 47A75 49R50 81Q10 65L60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Funct. Anal. 174, No. 1, 208--226 (2000; Zbl 0982.47006) Full Text: DOI arXiv Link
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric Variational characterization for eigenvalues of Dirac operators. (English) Zbl 0968.49025 Calc. Var. Partial Differ. Equ. 10, No. 4, 321-347 (2000). MSC: 49R50 81Q10 49S05 35P15 35Q40 47F05 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 10, No. 4, 321--347 (2000; Zbl 0968.49025) Full Text: DOI Link
Esteban, Maria J.; Georgiev, Vladimir; Séré, Eric Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations. (English) Zbl 0869.35105 Calc. Var. Partial Differ. Equ. 4, No. 3, 265-281 (1996). Reviewer: V.Komkov (Roswell) MSC: 35Q75 83C15 49S05 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Calc. Var. Partial Differ. Equ. 4, No. 3, 265--281 (1996; Zbl 0869.35105) Full Text: DOI
Esteban, Maria J.; Müller, Stefan Sobolev maps with integer degree and applications to Skyrme’s problem. (English) Zbl 0757.49010 Proc. R. Soc. Lond., Ser. A 436, No. 1896, 197-201 (1992). Reviewer: G.M.Lieberman (Ames) MSC: 49J40 PDFBibTeX XMLCite \textit{M. J. Esteban} and \textit{S. Müller}, Proc. R. Soc. Lond., Ser. A 436, No. 1896, 197--201 (1992; Zbl 0757.49010) Full Text: DOI
Esteban, Maria J. Nonsymmetric ground states of symmetric variational problems. (English) Zbl 0826.49002 Commun. Pure Appl. Math. 44, No. 2, 259-274 (1991). MSC: 49J20 35J60 PDFBibTeX XMLCite \textit{M. J. Esteban}, Commun. Pure Appl. Math. 44, No. 2, 259--274 (1991; Zbl 0826.49002) Full Text: DOI
Esteban, Maria J. A new setting for Skyrme’s problem. (English) Zbl 0724.49007 Variational methods, Proc. Conf., Paris/Fr. 1988, Prog. Nonlinear Differ. Equ. Appl. 4, 77-93 (1990). Reviewer: M.J.Esteban MSC: 49J40 49S05 81V35 PDFBibTeX XML
Esteban, Maria J. Rupture de symétrie pour des problèmes de Neumann sur-linéaires dans des ouverts extérieurs. (Symmetry breaking for superlinear Neumann problems in exterior domains.). (French) Zbl 0674.49008 C. R. Acad. Sci., Paris, Sér. I 308, No. 10, 281-286 (1989). MSC: 49J99 35J65 PDFBibTeX XMLCite \textit{M. J. Esteban}, C. R. Acad. Sci., Paris, Sér. I 308, No. 10, 281--286 (1989; Zbl 0674.49008)
Esteban, Maria J. An isoperimetric inequality in \({\mathbb{R}}^ 3\). (English) Zbl 0641.49028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 4, 297-305 (1987). Reviewer: M.Grüter MSC: 49Q20 26B15 28A75 49Q15 PDFBibTeX XMLCite \textit{M. J. Esteban}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 4, 297--305 (1987; Zbl 0641.49028) Full Text: DOI Numdam EuDML
Esteban, M. J. Existence of symmetric solutions for the Skyrme’s problem. (English) Zbl 0631.49020 Ann. Mat. Pura Appl., IV. Ser. 147, 187-195 (1987). Reviewer: P.Achuthan MSC: 49S05 49J20 81V99 PDFBibTeX XMLCite \textit{M. J. Esteban}, Ann. Mat. Pura Appl. (4) 147, 187--195 (1987; Zbl 0631.49020) Full Text: DOI
Esteban, M. J. Variational approach to the existence of skyrmions. (English) Zbl 0625.49002 Contributions to nonlinear partial differential equations, Vol. II, Proc. 2nd Franco-Span. Colloq., Paris 1985, Pitman Res. Notes Math. Ser. 155, 112-122 (1987). MSC: 49J20 49S05 81T08 49J45 PDFBibTeX XML
Esteban, Maria J.; Lions, P. L. \(\Gamma\)-convergence and the concentration-compactness method for some variational problems with lack of compactness. (English) Zbl 0829.49010 Ric. Mat. 36, No. 1, 73-101 (1987). Reviewer: E.Acerbi (MR 90a:49016) MSC: 49J45 49J10 35J20 PDFBibTeX XMLCite \textit{M. J. Esteban} and \textit{P. L. Lions}, Ric. Mat. 36, No. 1, 73--101 (1987; Zbl 0829.49010)