Estimates for Robin p-Laplacian eigenvalues of convex sets with prescribed perimeter

被引：1

作者：

Amato, Vincenzo ^{[1
]}

Gentile, Andrea ^{[2
]}

Masiello, Alba Lia ^{[1
]}

机构：

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

[2] Scuola Super Meridionale, Math & Phys Sci Adv Mat & Technol, Largo San Marcellino 10, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 533卷 / 02期

关键词：

p-Laplacian; Robin boundary conditions; Quantitative estimates; ISOPERIMETRIC INEQUALITY; DOMAINS;

D O I：

10.1016/j.jmaa.2023.128002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove an upper bound for the first Robin eigenvalue of the p-Laplacian with a positive boundary parameter and a quantitative version of the reverse Faber-Krahn type inequality for the first Robin eigenvalue of the p-Laplacian with negative boundary parameter, among convex sets with prescribed perimeter. The proofs are based on a comparison argument obtained by means of inner sets, introduced by Payne, Weinberger [32] and Polya [33].(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：20

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