Existence and regularity of multiple solutions for infinitely degenerate nonlinear elliptic equations with singular potential

被引：5

作者：

Chen, Hua ^{[1
]}

Luo, Peng ^{[1
]}

Tian, Shuying ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 257卷 / 09期

关键词：

Infinitely degenerate elliptic equations; Logarithmic Sobolev inequality; Hardy's inequality; Singular potential; LOGARITHMIC SOBOLEV INEQUALITY; SCHRODINGER-OPERATORS; HYPOELLIPTICITY;

D O I：

10.1016/j.jde.2014.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Dirichlet problem for a class of infinitely degenerate nonlinear 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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：3300 / 3333

页数：34

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