55 citations · 115 across the 23 of their papers we have counts for
28 papers
First Eigenvalue and Torsional Rigidity: Isoperimetric Inequalities for the Fractional Laplacian
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +2
We present a fractional counterpart of a generalized Kohler-Jobin inequality, showing that, among all bounded, open sets with Lipschitz boundary, having the…
Concentration comparison for nonlinear diffusion on model manifolds and Pólya-Szegő inequality
Matteo Muratori, Bruno Volzone
We investigate the validity of the mass concentration comparison for a class of nonlinear diffusion equations posed on Riemannian manifolds that are spherically sy…
Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
Filomena Feo, Juan Luis Vázquez, Bruno Volzone
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar f…
Local multiplicity for fractional linear equations with Hardy potentials
Edoardo Mainini, Roberto Ognibene, Bruno Volzone
We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens i…
On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincaré-type inequalities
Sergey G. Bobkov, Bruno Volzone
We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincaré-type inequalities. This approach allows one to explore c…
Symmetrization results for general nonlocal linear ellipitic and parabolic problems
Vincenzo Ferone, Gianpaolo Piscitelli, Bruno Volzone
We establish a Talenti-type symmetrization result in the form of mass concentration (i.e. integral comparison) for very general linear nonlocal elliptic problems, equipped with hom…