Existence of Solutions for Degenerate Elliptic Equations with Singular Potential on Conical Singular Manifolds

Chen Hua; Wei Yawei; Zhou Bin

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Existence of Solutions for Degenerate Elliptic Equations with Singular Potential on Conical Singular Manifolds

Chen Hua 1 *,Wei Yawei 2,Zhou Bin 1

1.School of Mathematics and Statistics, Wuhan University, WuHan 430072

2.School of Mathematical Sciences, LPMC,Nankai University, TianJin 300071

*Correspondence author

#Submitted by

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Funding: NSFC Foundation （No.11131005）, SECC Foundation （No.20090141110003）

Opened online: 3 December 2012

Accepted by: none

Citation: Chen Hua ,Wei Yawei,Zhou Bin .Existence of Solutions for Degenerate Elliptic Equations with Singular Potential on Conical Singular Manifolds[OL]. [ 3 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4498247

This article considered the Dirichlet problem for a class of degenerate elliptic equations with singular potential on conical singular manifolds. By using the cone Sobllev inequality and Hardy inequality, the existence of nontrivial solutions has been proved.

Keywords:partial differential equation; Cone Sobolev inequality; cone Hardy inequality; singular potential function

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