Publications (75)
Spectral estimates on the sphere
Jean Dolbeault, Maria J. Esteban, Ari Laptev
Flows and functional inequalities for fractional operators
Jean Dolbeault, An Zhang
Interpolation inequalities on the sphere: linear vs. nonlinear flows
Jean Dolbeault, Maria J. Esteban, Michael Loss
Asymptotic estimates for the parabolic-elliptic Keller-Segel model in the plane
Juan Campos Serrano, Jean Dolbeault
A new class of transport distances
Jean Dolbeault, Bruno Nazaret, Giuseppe Savare
Sharp interpolation inequalities on the sphere : new methods and consequences
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk +1
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities
Jean Dolbeault, Juan Campos Serrano
On the one-dimensional parabolic obstacle problem with variable coefficients
Adrien Blanchet, Jean Dolbeault, Regis Monneau
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
The Moser-Trudinger-Onofri inequality
Jean Dolbeault, Maria J. Esteban, Gaspard Jankowiak
On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
Onofri inequalities and rigidity results
Jean Dolbeault, Maria J. Esteban, Gaspard Jankowiak
Asymptotics of the fast diffusion equation via entropy estimates
Adrien Blanchet, Matteo Bonforte, Jean Dolbeault +2
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes
Jean Dolbeault, Axel Klar, Clément Mouhot +1
Symmetry and symmetry breaking: rigidity and flows in elliptic PDEs
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders
Jean Dolbeault, Maria J. Esteban, Michael Loss
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
Jean Dolbeault, Patricio Felmer, Michael Loss +1
Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays
Jean Dolbeault, Giuseppe Toscani
Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization
Jean Dolbeault, Maria J. Esteban, Michael Loss
Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion
Jean Dolbeault
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban
Extremal functions for Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
Jean Dolbeault, Maria J. Esteban
Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants
Jean Dolbeault, Maria J. Esteban
Stability of the Hartree-Fock model with temperature
Jean Dolbeault, Patricio Felmer, Mathieu Lewin
A weighted Moser-Trudinger inequality and its relation to the Caffarelli-Kohn-Nirenberg inequalities in two space dimensions
Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello
Stationary solutions of Keller-Segel type crowd motion and herding models: multiplicity and dynamical stability
Jean Dolbeault, Peter Markowich, Gaspard Jankowiak
Hypocoercivity for kinetic equations with linear relaxation terms
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle
Isabelle Catto, Jean Dolbeault, Ãscar Sánchez +1
Sobolev and Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault, Gaspard Jankowiak
Improved interpolation inequalities, relative entropy and fast diffusion equations
Jean Dolbeault, Giuseppe Toscani
From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach
Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré
Relativistic hydrogenic atoms in strong magnetic fields
Jean Dolbeault, Maria J. Esteban, Michael Loss
Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis
Piotr Biler, Lucilla Corrias, Jean Dolbeault
Nonlinear flows and rigidity results on compact manifolds
Jean Dolbeault, Maria J. Esteban, Michael Loss
Magnetic rings
Jean Dolbeault, Maria Esteban, Ari Laptev +1
About existence, symmetry and symmetry breaking for extremal functions of some interpolation functional inequalities
Jean Dolbeault, Maria J. Esteban
Interpolation inequalities and spectral estimates for magnetic operators
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
Lq-functional inequalities and weighted porous media equations
Jean Dolbeault, Ivan Gentil, Arnaud Guillin +1
Lieb-Thirring inequalities with improved constants
Jean Dolbeault, Ari Laptev, Michael Loss
The Euclidean Onofri inequality in higher dimensions
Manuel Del Pino, Jean Dolbeault
Best matching Barenblatt profiles are delayed
Jean Dolbeault, Giuseppe Toscani
Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model
Adrien Blanchet, Jean Dolbeault, Miguel Escobedo +1
Improved Poincaré inequalities
Jean Dolbeault, Bruno Volzone
Radial symmetry and symmetry breaking for some interpolation inequalities
Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello +1
Fast diffusion equations: matching large time asymptotics by relative entropy methods
Jean Dolbeault, Giuseppe Toscani
Symmetry of extremals of functional inequalities via spectral estimates for linear operators
Jean Dolbeault, Maria J. Esteban, Michael Loss
Multiplicity results for the assigned Gauss curvature problem in R2
Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello
Characterization of the critical magnetic field in the Dirac-Coulomb equation
Jean Dolbeault, Maria J. Esteban, Michael Loss
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Carmen Cortázar, Jean Dolbeault, Marta Garcia-Huidobro +1
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
Jean Dolbeault, Maria J. Esteban, Michael Loss
Improved intermediate asymptotics for the heat equation
Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault +1
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
Thermal effects in gravitational Hartree systems
Gonca L. Aki, Jean Dolbeault, Christof Sparber
Hypocoercivity for linear kinetic equations conserving mass
Jean Dolbeault, Clément Mouhot, Christian Schmeiser
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: Remarks on duality and flows
Jean Dolbeault, Maria J. Esteban, Ari Laptev +1
Reverse Hardy-Littlewood-Sobolev inequalities
Jean Dolbeault, Rupert Frank, Franca Hoffmann
Relative equilibria in continuous stellar dynamics
Juan Campos Serrano, Manuel Del Pino, Jean Dolbeault
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities
Jean Dolbeault, Giuseppe Toscani
A logarithmic Hardy inequality
Manuel Del Pino, Jean Dolbeault, Stathis Filippas +1
Optimal functional inequalities for fractional operators on the sphere and applications
Jean Dolbeault, An Zhang
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1
Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics
Jean Dolbeault, Robert Stanczy
Weighted interpolation inequalities: a perturbation approach
Jean Dolbeault, Matteo Muratori, Bruno Nazaret
Non-existence and uniqueness results for supercritical semilinear elliptic equations
Jean Dolbeault, Robert Stanczy
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
Improved interpolation inequalities on the sphere
Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk +1
Convex Sobolev inequalities and spectral gap
Jean Dolbeault, Jean-Philippe Bartier
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates
Jean Dolbeault, Michal Kowalczyk
Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities
Jean Dolbeault, Maria J. Esteban, Stathis Filippas +1
Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations
Jean Dolbeault, Maria J. Esteban
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
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
Jean Dolbeault, Gerhard Rein