13 citations · 28 across the 14 of their papers we have counts for
20 papers
Kohler-Jobin inequality for -Laplace operator
Francesco Chiacchio, Vincenzo Ferone, Anna Mercaldo +1
A sharp lower bound for the first Dirichlet eigenvalue of the -laplacian is derived for sets with prescribed -torsional rigidity. The result provides an extension of the clas…
Kohler-Jobin inequality for -Laplace operator in the Gauss space
Francesco Chiacchio, Vincenzo Ferone, Anna Mercaldo +1
A sharp lower bound for the first Dirichlet eigenvalue of the -laplacian in Gaussian space is derived for sets with prescribed generalized torsional rigidity. The result provide…
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…
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…
Comparison results for a nonlocal singular elliptic problem
Barbara Brandolini, Ida de Bonis, Vincenzo Ferone +1
We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dir…
Symmetrization for fractional nonlinear elliptic problems
Vincenzo Ferone, Bruno Volzone
In this note we prove a new symmetrization result, in the form of mass concentration comparison, for solutions of nonlocal nonlinear Dirichlet problems involving fractional p Lapla…