Acta mathematica scientia, Series B >
NONTRIVIAL SOLUTION FOR A CLASS OF SEMILINEAR BIHARMONIC EQUATION INVOLVING CRITICAL EXPONENTS
Received date: 2005-04-06
Revised date: 2005-12-01
Online published: 2007-07-20
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.
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 . DOI: 10.1016/S0252-9602(07)60050-2
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