ISOPERIMETRIC ESTIMATES FOR SOLUTIONS TO THE p-LAPLACIAN WITH VARIABLE ROBIN BOUNDARY CONDITIONS

被引：0

作者：

Amato, Vincenzo ^{[1
]}

Chiacchio, Francesco ^{[1
]}

Gentile, Andrea ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni Renato Cacciop, Naples, Italy

[2] Math & Phys Sci Adv Mat & Technol Scuola Super Mer, Naples, Italy

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2024年 / 37卷 / 3-4期

关键词：

ELLIPTIC PROBLEMS; INEQUALITIES; UNIQUENESS;

D O I：

10.57262/die037-0304-267

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：267 / 286

页数：20

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