2 citations · 3 across the 10 of their papers we have counts for
19 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…
Weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders
Friedemann Brock, Francesco Chiacchio, Adele Ferone +1
In this paper weighted Dirichlet-type inequalities for the decreasing rearrangement in cylinders are proved. A weighted isoperimetric inequality is also obtained.
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…
Singular elliptic equations having a gradient term with natural growth
A. Ferone, A. Mercaldo, S. Segura de León
We study a class of Dirichlet boundary value problems whose prototype is \begin{equation}\label{1.2abs} \left\{\begin{array}{ll} -Δ_p u =h(u)|\nabla u|^p+u^{q-1}+f(x)\, &\quad\hbox…
Shape of extremal functions for weighted Sobolev-type inequalities
Friedemann Brock, Francesco Chiacchio, Gisella Croce +1
We study the shape of solutions to some variational problems in Sobolev spaces with weights that are powers of |x|. In particular, we detect situations when the extremal functions…
Isoperimetric sets for weighted twisted eigenvalues
Barbara Brandolini, Antoine Henrot, Anna Mercaldo +1
In tis paper we prove an isoperimetric inequality for the first twisted eigenvalue of a weighted operator, defined as the minimum of the usual Rayleigh quotient when…