Acta mathematica scientia,Series B

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

Yao Yangxin; Wang Rongxin; Shen Yaotian   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 35J65
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