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
Isoperimetric estimates for solutions to the $p$-Laplacian with variable Robin boundary conditions / Amato, Vincenzo; Chiacchio, Francesco; Gentile, Andrea. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - 37:3/4(2024), pp. 267-286. [10.57262/die037-0304-267]
Isoperimetric estimates for solutions to the $p$-Laplacian with variable Robin boundary conditions
Chiacchio, Francesco;
2024
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 inequalityFile in questo prodotto:
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