Work

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

Year: 2023

Type: article

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.

Source: Differential and Integral Equations

DOI: 10.57262/die037-0304-267

Authors: Vincenzo Amato, Francesco Chiacchio, Andrea Gentile

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4387923635

FWCI:

Cites: 2

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Related to: 10