141 citations · 781 across the 77 of their papers we have counts for
7 papers · 2 filters
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates
Jean Dolbeault, Michal Kowalczyk
This paper is devoted to the Lin-Ni conjecture for a semi-linear elliptic equation with a super-linear, sub-critical nonlinearity and homogeneous Neumann boundary conditions. We es…
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
We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symm…
Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities
Jean Dolbeault, Giuseppe Toscani
This paper is devoted to improvements of functional inequalities based on scalings and written in terms of relative entropies. When scales are taken into account and second moments…
Best matching Barenblatt profiles are delayed
Jean Dolbeault, Giuseppe Toscani
The growth of the second moments of the solutions of fast diffusion equations is asymptotically governed by the behavior of self-similar solutions. However, at next order, there is…
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Carmen Cortázar, Jean Dolbeault, Marta Garcia-Huidobro +1
We consider radial solutions of a general elliptic equation involving a weighted -Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence o…
Onofri inequalities and rigidity results
Jean Dolbeault, Maria J. Esteban, Gaspard Jankowiak
This paper is devoted to the Moser-Trudinger-Onofri inequality on smooth compact connected Riemannian manifolds. We establish a rigidity result for the Euler-Lagrange equation and…