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NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS 被引量:8

NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS
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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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第3期509-514,共6页 数学物理学报(B辑英文版)
基金 Supported by NSFC(10471047) NSF Guangdong Province(05300159).
关键词 Biharmonic equation critical exponent singular term nontrivial solution Sobolev-Hardy inequality Biharmonic equation, critical exponent, singular term, nontrivial solution,Sobolev-Hardy inequality
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