Existence and regularity of solutions to semi-linear Dirichlet problem of infinitely degenerate elliptic operators with singular potential term

被引：0

作者：

CHEN Hua

LUO Peng

TIAN ShuYing

机构：

[1] SchoolofMathematicsandStatistics,WuhanUniversity

来源：

ScienceChina(Mathematics) | 2013年 / 56卷 / 04期

关键词：

infinitely degenerate elliptic equations; logarithmic Sobolev inequality; Hardy’s inequality; singular potential term;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term.By using the logarithmic Sobolev inequality and Hardy's inequality,the existence and regularity of multiple nontrivial solutions have been proved.

引用

页码：687 / 706

页数：20

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