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
收藏
页码：647 / 662
页数：15
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