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5. INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY

INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY

来源 :数学物理学报（英文版） | 被引量 : 0次 | 上传用户：gzmanman

【摘 要】

：

We study the following elliptic problem:{-div(a(x)Du)=Q(x)|u|2*-2u+λu x∈Ω, u=0 on(δ)Ω.Under certain assumptions on a and Q, we obtain existence of infinite

【作 者】

：

Cao Daomin Yan Shusen 

【机 构】

：

Institute of Applied Mathematics,Department of Mathematics

【出 处】

：

数学物理学报（英文版）

【发表日期】

：

2004年期

【关键词】

：

semilinear elliptic equations infinitely many solutions variational method 

【基金项目】

：

Supported by Key Project;NSFC and Knowledge Innovation Funds of CAS in China;S.Yan was partially supported by ARC in Australia

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We study the following elliptic problem:{-div(a(x)Du)=Q(x)|u|2*-2u+λu x∈Ω, u=0 on(δ)Ω.Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.

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