141 citations · 781 across the 77 of their papers we have counts for
7 papers · 1 filter
Flows and functional inequalities for fractional operators
Jean Dolbeault, An Zhang
This paper collects results concerning global rates and large time asymptotics of a fractional fast diffusion on the Euclidean space, which is deeply related with a family of fract…
Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization
Jean Dolbeault, Maria J. Esteban, Michael Loss
This paper is devoted to the computation of the asymptotic boundary terms in entropy methods applied to a fast diffusion equation with weights associated with Caffarelli-Kohn-Niren…
Optimal functional inequalities for fractional operators on the sphere and applications
Jean Dolbeault, An Zhang
This paper is devoted to optimal functional inequalities for fractional Laplace operators on the sphere. Based on spectral properties, subcritical inequalities are established. The…
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
We use the formalism of the R{é}nyi entropies to establish the symmetry range of extremal functions in a family of subcriti-cal Caffarelli-Kohn-Nirenberg inequalities. By extremal…
Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss
In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the…
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
In this paper we consider a family of Caffarelli-Kohn-Nirenberg interpolation inequalities (CKN), with two radial power law weights and exponents in a subcritical range. We address…