Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds

被引：25

作者：

Chen, Hua ^{[1
]}

Wei, Yawei ^{[2
]}

Zhou, Bin ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Nankai Univ, Sch Math Sci, LPMC, Tianjin 300071, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 11-12期

关键词：

Cone Sobolev inequality; cone Hardy inequality; singular potential function; Dirichlet problem; conical singularity; msc (2010) 35J20; 58J05;

D O I：

10.1002/mana.201100088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the Dirichlet problem for a class of degenerate elliptic equations with singular potential on conical singular manifolds. By using the cone Sobolev inequality and Hardy inequality, the existence of nontrivial solutions has been proved.

引用

页码：1370 / 1384

页数：15