Nontrivial solution for a class of semilinear biharmonic equation involving critical exponents

被引：18

作者：

Yao, Yangxin ^{[1
]}

Wang, Rongxin ^{[1
]}

Shen, Yaotian ^{[1
]}

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2007年 / 27卷 / 03期

关键词：

biharmonic equation; critical exponent; singular term; nontrivial solution; Sobolev-Hardy inequality;

D O I：

10.1016/S0252-9602(07)60050-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the authors prove the existence and the nonexistence of nontrivial solutions for a semilinear biharmonic equation involving critical exponent by virtue of Mountain Pass Lemma and Sobolev-Hardy inequality.

引用

页码：509 / 514

页数：6

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