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  1. Stability for the logarithmic Sobolev inequality

    Article • Journal of Functional Analysis, October 2024, Elsevier

    Jean Dolbeault

  2. Special macroscopic modes and hypocoercivity

    Article • Journal of the European Mathematical Society, July 2024, European Mathematical Publishing House

    Jean Dolbeault

  3. Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results”

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, April 2024, European Mathematical Publishing House

    Jean Dolbeault

  4. Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, November 2023, European Mathematical Publishing House

    Jean Dolbeault

  5. Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac–Coulomb operators

    Article • Journal of Spectral Theory, September 2023, European Mathematical Publishing House

    Jean Dolbeault

  6. Keller and Lieb–Thirring estimates of the eigenvalues in the gap of Dirac operators

    Article • Revista Matemática Iberoamericana, September 2023, European Mathematical Publishing House

    Jean Dolbeault

  7. Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators

    Article • Archive for Rational Mechanics and Analysis, January 2022, Springer Science + Business Media

    Jean Dolbeault

  8. Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results

    Article • Milan Journal of Mathematics, October 2021, Springer Science + Business Media

    Jean Dolbeault

  9. $$\text {L}^2$$-Hypocoercivity and Large Time Asymptotics of the Linearized Vlasov–Poisson–Fokker–Planck System

    Article • Journal of Statistical Physics, June 2021, Springer Science + Business Media

    Jean Dolbeault

  10. Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model

    Article • Computational and Mathematical Biophysics, January 2021, De Gruyter

    Jean Dolbeault

  11. Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model

    Article • May 2020, Cold Spring Harbor Laboratory Press

    Jean Dolbeault

  12. A variational proof of Nash’s inequality

    Article • Rendiconti Lincei Matematica e Applicazioni, April 2020, European Mathematical Publishing House

    Jean Dolbeault

  13. Improved Interpolation Inequalities and Stability

    Article • Advanced Nonlinear Studies, March 2020, De Gruyter

    Jean Dolbeault

  14. φ-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations

    Article • Mathematical Models and Methods in Applied Sciences, December 2018, World Scientific Pub Co Pte Lt

    Jean Dolbeault

  15. Magnetic rings

    Article • Journal of Mathematical Physics, May 2018, American Institute of Physics

    Jean Dolbeault

  16. Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates

    Article • Annales de la faculté des sciences de Toulouse Mathématiques, December 2017, Cellule MathDoc/CEDRAM

    Jean Dolbeault

  17. Calculus of Variations

    Article • Oberwolfach Reports, April 2017, European Mathematical Publishing House

    Jean Dolbeault

  18. Interpolation inequalities on the sphere: linear vs. nonlinear flows

    Article • Annales de la faculté des sciences de Toulouse Mathématiques, April 2017, Cellule MathDoc/CEDRAM

    Jean Dolbeault

  19. Flows and functional inequalities for fractional operators

    Article • Applicable Analysis, February 2017, Taylor & Francis

    Jean Dolbeault

  20. Weighted interpolation inequalities: a perturbation approach

    Article • Mathematische Annalen, October 2016, Springer Science + Business Media

    Jean Dolbeault

  21. Nonlinear diffusions: Extremal properties of Barenblatt profiles, best matching and delays

    Article • Nonlinear Analysis, June 2016, Elsevier

    Jean Dolbeault

  22. Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications

    Article • Advanced Nonlinear Studies, January 2016, De Gruyter

    Jean Dolbeault

  23. The Moser-Trudinger-Onofri inequality

    Article • Chinese Annals of Mathematics Series B, August 2015, Springer Science + Business Media

    Jean Dolbeault

  24. Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities

    Article • Calculus of Variations and Partial Differential Equations, May 2015, Springer Science + Business Media

    Jean Dolbeault

  25. Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities

    Article • International Mathematics Research Notices, May 2015, Oxford University Press (OUP)

    Jean Dolbeault

  26. Hypocoercivity for linear kinetic equations conserving mass

    Article • Transactions of the American Mathematical Society, February 2015, American Mathematical Society (AMS)

    Jean Dolbeault

  27. Best matching Barenblatt profiles are delayed

    Article • Journal of Physics A Mathematical and Theoretical, January 2015, Institute of Physics Publishing

    Professor Giuseppe Toscani, Jean Dolbeault

  28. Existence of sign changing solutions for an equation with a weighted

    Article • Nonlinear Analysis, November 2014, Elsevier

    Jean Dolbeault

  29. Nonlinear flows and rigidity results on compact manifolds

    Article • Journal of Functional Analysis, September 2014, Elsevier

    Jean Dolbeault

  30. Sobolev and Hardy–Littlewood–Sobolev inequalities

    Article • Journal of Differential Equations, September 2014, Elsevier

    Jean Dolbeault

  31. Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi--Dirac statistics

    Article • Discrete and Continuous Dynamical Systems, August 2014, American Institute of Mathematical Sciences (AIMS)

    Jean Dolbeault

  32. Spectral estimates on the sphere

    Article • Analysis & PDE, May 2014, Mathematical Sciences Publishers

    Jean Dolbeault

  33. Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane

    Article • Communications in Partial Differential Equations, April 2014, Taylor & Francis

    Jean Dolbeault

  34. Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations

    Article • Nonlinearity, February 2014, Institute of Physics Publishing

    Jean Dolbeault

  35. Improved interpolation inequalities on the sphere

    Article • Discrete and Continuous Dynamical Systems - S, February 2014, American Institute of Mathematical Sciences (AIMS)

    Jean Dolbeault

  36. Improved interpolation inequalities, relative entropy and fast diffusion equations

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, October 2013, European Mathematical Publishing House

    Professor Giuseppe Toscani, Jean Dolbeault

  37. EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE

    Article • Mathematical Models and Methods in Applied Sciences, September 2013, World Scientific Pub Co Pte Lt

    Jean Dolbeault

  38. Spectral properties of Schrödinger operators on compact manifolds: Rigidity, flows, interpolation and spectral estimates

    Article • Comptes Rendus Mathématique, June 2013, Elsevier

    Jean Dolbeault

  39. Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator

    Article • Advanced Nonlinear Studies, January 2013, De Gruyter

    Raul Manasevich, Jean Dolbeault

  40. Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences

    Article • Chinese Annals of Mathematics Series B, January 2013, Springer Science + Business Media

    Jean Dolbeault

  41. A functional framework for the Keller–Segel system: Logarithmic Hardy–Littlewood–Sobolev and related spectral gap inequalities

    Article • Comptes Rendus Mathématique, November 2012, Elsevier

    Jean Dolbeault

  42. Improved Poincaré inequalities

    Article • Nonlinear Analysis, November 2012, Elsevier

    Jean Dolbeault

  43. Extremal functions for Caffarelli—Kohn—Nirenberg and logarithmic Hardy inequalities

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, August 2012, Cambridge University Press

    Jean Dolbeault

  44. The Euclidean Onofri Inequality in Higher Dimensions

    Article • International Mathematics Research Notices, June 2012, Oxford University Press (OUP)

    Jean Dolbeault

  45. Symmetry of extremals of functional inequalities via spectral estimates for linear operators

    Article • Journal of Mathematical Physics, May 2012, American Institute of Physics

    Jean Dolbeault

  46. A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities

    Article • Journal of Numerical Mathematics, January 2012, De Gruyter

    Jean Dolbeault

  47. About Existence, Symmetry and Symmetry Breaking for Extremal Functions of Some Interpolation Functional Inequalities

    Article • January 2012, Springer Science + Business Media

    Jean Dolbeault

  48. From Poincaré to Logarithmic Sobolev Inequalities: A Gradient Flow Approach

    Article • SIAM Journal on Mathematical Analysis, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Jean Dolbeault

  49. Fast diffusion equations: Matching large time asymptotics by relative entropy methods

    Article • Kinetic and Related Models, August 2011, American Institute of Mathematical Sciences (AIMS)

    Professor Giuseppe Toscani, Jean Dolbeault

  50. Thermal Effects in Gravitational Hartree Systems

    Article • Annales Henri Poincaré, April 2011, Springer Science + Business Media

    Jean Dolbeault

  51. Radial symmetry and symmetry breaking for some interpolation inequalities

    Article • Calculus of Variations and Partial Differential Equations, January 2011, Springer Science + Business Media

    Jean Dolbeault

  52. Improved intermediate asymptotics for the heat equation

    Article • Applied Mathematics Letters, January 2011, Elsevier

    Jean Dolbeault

  53. A logarithmic Hardy inequality

    Article • Journal of Functional Analysis, October 2010, Elsevier

    Jean Dolbeault

  54. Erratum to “On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients”

    Article • Journal de Mathématiques Pures et Appliquées, October 2010, Elsevier

    Jean Dolbeault

  55. Relative Equilibria in Continuous Stellar Dynamics

    Article • Communications in Mathematical Physics, September 2010, Springer Science + Business Media

    Jean Dolbeault

  56. Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities

    Article • Proceedings of the National Academy of Sciences, September 2010, Proceedings of the National Academy of Sciences

    Jean Dolbeault

  57. Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis

    Article • Journal of Mathematical Biology, August 2010, Springer Science + Business Media

    Piotr Biler, Jean Dolbeault

  58. Asymptotic behaviour for small mass in the two-dimensional parabolic–elliptic Keller–Segel model

    Article • Journal of Mathematical Analysis and Applications, January 2010, Elsevier

    Jean Dolbeault

  59. Non-Existence and Uniqueness Results for Supercritical Semilinear Elliptic Equations

    Article • Annales Henri Poincaré, December 2009, Springer Science + Business Media

    Jean Dolbeault

  60. The two-dimensional Keller-Segel model after blow-up

    Article • Discrete and Continuous Dynamical Systems, June 2009, American Institute of Mathematical Sciences (AIMS)

    Jean Dolbeault

  61. Hypocoercivity for kinetic equations with linear relaxation terms

    Article • Comptes Rendus Mathématique, April 2009, Cellule MathDoc/CEDRAM

    Jean Dolbeault

  62. Multiplicity results for the assigned Gauss curvature problem in

    Article • Nonlinear Analysis, April 2009, Elsevier

    Jean Dolbeault

  63. ORBITALLY STABLE STATES IN GENERALIZED HARTREE–FOCK THEORY

    Article • Mathematical Models and Methods in Applied Sciences, March 2009, World Scientific Pub Co Pte Lt

    Jean Dolbeault

  64. On the Symmetry of Extremals for the Caffarelli-Kohn-Nirenberg Inequalities

    Article • Advanced Nonlinear Studies, January 2009, De Gruyter

    Jean Dolbeault

  65. Stochastic Stokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets

    Article • SIAM Journal on Mathematical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Jean Dolbeault

  66. Lieb–Thirring inequalities with improved constants

    Article • Journal of the European Mathematical Society, December 2008, European Mathematical Publishing House

    Jean Dolbeault

  67. Harnack Inequalities and Discrete—Continuous Error Estimates for a Chain of Atoms with Two—Body Interactions

    Article • Journal of Statistical Physics, December 2008, Springer Science + Business Media

    Jean Dolbeault

  68. Localized minimizers of flat rotating gravitational systems

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, November 2008, Elsevier

    Jean Dolbeault

  69. Travelling fronts in stochastic Stokes’ drifts

    Article • Physica A Statistical Mechanics and its Applications, October 2008, Elsevier

    Jean Dolbeault

  70. Asymptotics of the Fast Diffusion Equation via Entropy Estimates

    Article • Archive for Rational Mechanics and Analysis, July 2008, Springer Science + Business Media

    Jean Dolbeault

  71. Compactness properties for trace-class operators and applications to quantum mechanics

    Article • Monatshefte für Mathematik, July 2008, Springer Science + Business Media

    Jean Dolbeault

  72. A new class of transport distances between measures

    Article • Calculus of Variations and Partial Differential Equations, June 2008, Springer Science + Business Media

    Jean Dolbeault

  73. Characterization of the critical magnetic field in the Dirac–Coulomb equation

    Article • Journal of Physics A Mathematical and Theoretical, April 2008, Institute of Physics Publishing

    Jean Dolbeault

  74. Hardy-type estimates for Dirac operators

    Article • Annales Scientifiques de l École Normale Supérieure, November 2007, Societe Mathematique de France

    Jean Dolbeault

  75. L q -Functional Inequalities and Weighted Porous Media Equations

    Article • Potential Analysis, October 2007, Springer Science + Business Media

    Jean Dolbeault

  76. Geometry of phase space and solutions of semilinear elliptic equations in a ball

    Article • Transactions of the American Mathematical Society, September 2007, American Mathematical Society (AMS)

    Jean Dolbeault

  77. Non linear Diffusions as Limit of Kinetic Equations with Relaxation Collision Kernels

    Article • Archive for Rational Mechanics and Analysis, August 2007, Springer Science + Business Media

    Jean Dolbeault

  78. Relativistic Hydrogenic Atoms in Strong Magnetic Fields

    Article • Annales Henri Poincaré, June 2007, Springer Science + Business Media

    Jean Dolbeault

  79. Hardy–Poincaré inequalities and applications to nonlinear diffusions

    Article • Comptes Rendus Mathématique, April 2007, Elsevier

    Jean Dolbeault

  80. A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS

    Article • Mathematical Models and Methods in Applied Sciences, March 2007, World Scientific Pub Co Pte Lt

    Jean Dolbeault

  81. Stability for the Gravitational Vlasov–Poisson System in Dimension Two

    Article • Communications in Partial Differential Equations, October 2006, Taylor & Francis

    Jean Dolbeault

  82. Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems

    Article • Journal of Functional Analysis, September 2006, Elsevier

    Jean Dolbeault

  83. General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators

    Article • Journal of the European Mathematical Society, June 2006, European Mathematical Publishing House

    Jean Dolbeault

  84. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case

    Article • Communications on Pure & Applied Analysis, June 2006, American Institute of Mathematical Sciences (AIMS)

    Jean Dolbeault

  85. Convex Sobolev inequalities and spectral gap

    Article • Comptes Rendus Mathématique, March 2006, Elsevier

    Jean Dolbeault

  86. On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients

    Article • Journal de Mathématiques Pures et Appliquées, March 2006, Elsevier

    Jean Dolbeault

  87. Refined convex Sobolev inequalities

    Article • Journal of Functional Analysis, August 2005, Elsevier

    Jean Dolbeault

  88. The Brezis–Nirenberg problem near criticality in dimension 3

    Article • Journal de Mathématiques Pures et Appliquées, December 2004, Elsevier

    Jean Dolbeault

  89. An analytical proof of Hardy-like inequalities related to the Dirac operator

    Article • Journal of Functional Analysis, November 2004, Elsevier

    Jean Dolbeault

  90. Optimal critical mass in the two dimensional Keller–Segel model in

    Article • Comptes Rendus Mathématique, November 2004, Elsevier

    Jean Dolbeault

  91. Oscillating minimizers of a fourth-order problem invariant under scaling

    Article • Journal of Differential Equations, October 2004, Elsevier

    Jean Dolbeault

  92. Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case

    Article • Nonlinear Analysis, August 2004, Elsevier

    Jean Dolbeault

  93. Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality

    Article • Journal of Mathematical Analysis and Applications, May 2004, Elsevier

    Jean Dolbeault

  94. Asymptotic Behaviour for the Vlasov-Poisson System in the Stellar-Dynamics Case

    Article • Archive for Rational Mechanics and Analysis, March 2004, Springer Science + Business Media

    Jean Dolbeault

  95. “Bubble-tower” radial solutions in the slightly supercritical Brezis–Nirenberg problem

    Article • Journal of Differential Equations, September 2003, Elsevier

    Jean Dolbeault

  96. A variational method for relativistic computations in atomic and molecular physics

    Article • International Journal of Quantum Chemistry, January 2003, Wiley

    Jean Dolbeault

  97. Computational approaches of relativistic models in quantum chemistry

    Article • January 2003, Elsevier

    Jean Dolbeault

  98. Nodal solutions for a sublinear elliptic equation

    Article • Nonlinear Analysis, January 2003, Elsevier

    Jean Dolbeault

  99. The optimal Euclidean Lp-Sobolev logarithmic inequality

    Article • Journal of Functional Analysis, January 2003, Elsevier

    Jean Dolbeault

  100. Convexity estimates for nonlinear elliptic equations and application to free boundary problems

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, November 2002, Elsevier

    Jean Dolbeault

  101. Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions

    Article • Journal de Mathématiques Pures et Appliquées, September 2002, Elsevier

    Jean Dolbeault

  102. Nonlinear Stability in Lp for a Confined System of Charged Particles

    Article • SIAM Journal on Mathematical Analysis, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Jean Dolbeault

  103. Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the -Laplacian

    Article • Comptes Rendus Mathématique, January 2002, Elsevier

    Jean Dolbeault

  104. On Asymmetric Quasiperiodic Solutions of Hartree–Fock Systems

    Article • Journal of Differential Equations, January 2002, Elsevier

    Jean Dolbeault

  105. On Singular Limits of Mean-Field Equations

    Article • Archive for Rational Mechanics and Analysis, July 2001, Springer Science + Business Media

    Jean Dolbeault

  106. 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

    Article • Mathematical Models and Methods in Applied Sciences, April 2001, World Scientific Pub Co Pte Lt

    Jean Dolbeault

  107. Minimization Methods for the One-Particle Dirac Equation

    Article • Physical Review Letters, November 2000, American Physical Society (APS)

    Jean Dolbeault

  108. Classification of the Solutions of Semilinear Elliptic Problems in a Ball

    Article • Journal of Differential Equations, November 2000, Elsevier

    Jean Dolbeault

  109. On Maxwellian equilibria of insulated semiconductors

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, September 2000, European Mathematical Publishing House

    Jean Dolbeault

  110. On the Eigenvalues of Operators with Gaps. Application to Dirac Operators

    Article • Journal of Functional Analysis, June 2000, Elsevier

    Jean Dolbeault

  111. Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles

    Article • Archive for Rational Mechanics and Analysis, January 1994, Springer Science + Business Media

    Jean Dolbeault