Rigidity Results for the p-Laplacian Poisson Problem with Robin Boundary Conditions

被引：1

作者：

Masiello, Alba Lia ^{[1
]}

Paoli, Gloria ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Via Cintia,Complesso Univ Monte S Angelo, I-80126 Naples, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2024年 / 202卷 / 02期

关键词：

Robin boundary conditions; p-Laplace operator; Rigidity result; Talenti comparison; MINIMAL REARRANGEMENTS; ELLIPTIC PROBLEMS;

D O I：

10.1007/s10957-024-02442-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Let Omega subset of R(n )be an open, bounded and Lipschitz set. We consider the Poisson problem for the p-Laplace operator associated to Omega with Robin boundary conditions. In this setting, we study the equality case in the Talenti-type comparison: we prove that the equality is achieved only if Omega is a ball and both the solution u and the right-hand side f of the Poisson equation are radial and decreasing

引用

页码：628 / 648

页数：21

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