Numerical Gallery (Jean Dolbeault)

Jean Dolbeault and Giuseppe Toscani.  Improved Sobolev's inequalities, relative entropy and fast diffusion equations. 

Jean Dolbeault, Maria J. Esteban, Michael Loss.  Symmetry of extremals of functional inequalities via spectral estimates for linear operators. 

Jean Dolbeault and Maria Esteban.  Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants. 

Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello, and Achilles Tertikas.  Radial symmetry and symmetry breaking for some interpolation inequalities. 

Jean Dolbeault and Giuseppe Toscani.  Fast diffusion equations: matching large time asymptotics by relative entropy methods. 

Manuel del Pino, Jean Dolbeault, Stathis Filippas, Achilles Tertikas.  A logarithmic Hardy inequality. 

Piotr Biler, Lucilla Corrias and Jean Dolbeault.  Large mass self-similar solutions of the parabolic-parabolic Keller--Segel model of chemotaxis. 

Matteo Bonforte, Jean Dolbeault, Gabriele Grillo, and Juan-Luis Vázquez.  Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. 

Jean Dolbeault, Maria J. Esteban, Gabriella Tarantello.  Multiplicity results for the assigned Gauss curvature problem in R2. 

Adrien Blanchet, Jean Dolbeault, and Michal Kowalczyk.  Travelling fronts in stochastic Stokes' drifts. 

Jean Dolbeault, Maria Esteban, and Michael Loss.  Characterization of the critical magnetic field in the Dirac-Coulomb equation. 

Adrien Blanchet, Jean Dolbeault, Régis Monneau.  On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients. 

Jean Dolbeault, Isabel Flores.  Geometry of phase space and solutions of semilinear elliptic equations in a ball. 

Manuel del Pino, Jean Dolbeault, Monica Musso.  Multiple bubbling for the exponential nonlinearity in the slightly supercritical case.