SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R~N

被引：1
|
作者：
王征平
周焕松
机构：
[1] Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O.Box 71010 Wuhan 430071
[2] China
[3] Graduate School Chinese Academy of Sciences
[4] Beijing 100049
来源：
Acta Mathematica Scientia | 2006年 / 03期
关键词：
Critical Sobolev-Hardy exponent; elliptic equation; Mountain Pass theorem; subsuper solutions; nonhomogeneous;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
For the following elliptic problem where 2-(s)=2(N-s)/N-2 is the critical Sobolev-Hardy exponent, h(x)∈(D1,2(RN))*, the dual space of (D1,2(RN)), with h(x)≥((?))0. By Ekeland’s variational principle, subsuper solutions and a Mountain Pass theorem, the authors prove that the above problem has at least two distinct solutions if
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页码：525 / 536
页数：12
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