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arXiv · 2211.03617

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

Vincenzo Amato·Francesco Chiacchio·Andrea Gentile
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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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Vincenzo Amato, Francesco Chiacchio, Andrea Gentile. 2022-11-07. Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions. https://arxiv.org/abs/2211.03617

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