NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

doi:10.1016/S0252-9602(07)60050-2

数学物理学报(英文版)

NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

姚仰新; 王荣鑫; 沈尧天

华南理工大学数学学院, 广州 510640

收稿日期:2005-04-06 修回日期:2005-12-01 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 姚仰新
基金资助:
Supported by NSFC (10471047) and NSF Guangdong Province (05300159).

NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

Yao Yangxin; Wang Rongxin; Shen Yaotian

School of Mathematical Sciences, South China University of Technology,
Guangzhou 510640, China

Received:2005-04-06 Revised:2005-12-01 Online:2007-07-20 Published:2007-07-20
Contact: Yao Yangxin

摘要/Abstract

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.

关键词: Biharmonic equation, critical exponent, singular term, nontrivial solution, Sobolev--Hardy inequality

Abstract:

Key words: Biharmonic equation, critical exponent, singular term, nontrivial solution, Sobolev--Hardy inequality

中图分类号:

35J65

姚仰新; 王荣鑫; 沈尧天. NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS[J]. 数学物理学报(英文版), 2007, 27(3): 509-514.

Yao Yangxin; Wang Rongxin; Shen Yaotian. NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS[J]. Acta mathematica scientia,Series B, 2007, 27(3): 509-514.

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NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS

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