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Infinitely Many Solutions for a Class of Fourth Order Elliptic Equations in R^N

Infinitely Many Solutions for a Class of Fourth Order Elliptic Equations in R^N
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摘要 With the aids of variational method and concentration-compactness principle, infinitely many solutions are obtained for a class of fourth order elliptic equations with singular potentialΔ^2u=μ｜u｜^2＊＊（s）-2u/｜x｜^s＋λk（x）｜u｜^r-2 u, u∈H^2,2（R^N） （P） With the aids of variational method and concentration-compactness principle, infinitely many solutions are obtained for a class of fourth order elliptic equations with singular potentialΔ^2u=μ｜u｜^2＊＊（s）-2u/｜x｜^s＋λk（x）｜u｜^r-2 u, u∈H^2,2（R^N） （P）
作者 Min Bo YANG Zi Fei SHEN
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第8期1269-1278,共10页 数学学报（英文版）
基金 National Science Foundation of China (10471113) Natural Science Foundation of Zhejiang Province (Y606292)
关键词 biharmonic operator Hardy-Sobolev critical exponent Palais-Smale condition biharmonic operator, Hardy-Sobolev critical exponent, Palais-Smale condition
分类号 O177.91 [理学—基础数学]
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参考文献19

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Acta Mathematica Sinica,English Series
2008年 第8期

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