The p-Laplacian overdetermined problem on Riemannian manifolds

被引：0

作者：

Qihua Ruan

Qin Huang

Fan Chen

机构：

[1] Putian University,Key Laboratory of Financial Mathematics of Fujian Province University

[2] Putian University,Fujian Key Laboratory of Financial Information Processing

[3] Fujian Normal University,School of Mathematics and Statistics

[4] Qishan Campus,undefined

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2024年 / 203卷

关键词：

-Laplacian; Singular set; Overdetermined problem; Ricci curvature; 35A23; 35J92; 35N25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the overdetermined problem for the p-Laplacian equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature. We prove that the regularity results of weak solutions of the p-Laplacian equation and obtain some integral identities. As their applications, we give the proof of the p-Laplacian overdetermined problem and obtain some well known results such as the Heintze-Karcher inequality and the Soap Bubble Theorem.

引用

页码：647 / 662

页数：15

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