4 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…
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.
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…