Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions
Vincenzo Amato, Francesco Chiacchio, Andrea Gentile · arXiv (Cornell University) · 2022
In this paper we study the $p$-Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we provide various sharp bounds for the solutions to the problems under consideration. We also derive a Faber-Krahn-type inequality.