Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions

Published 7 Nov 2022 in math.AP | (2211.03617v2)

Abstract: 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.

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