Infinitely many solutions for an elliptic system

Lihong Huang; Ronghui Hu

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Infinitely many solutions for an elliptic system

Lihong Huang * #,Ronghui Hu

Hunan University

*Correspondence author

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Funding: 教育部博士点基金（No.20050532023）

Opened online:31 March 2008

Accepted by: none

Citation: Lihong Huang,Ronghui Hu.Infinitely many solutions for an elliptic system[OL]. [31 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19955

By using the generalized symmetric mountain pass theorem developed by Bartsch and Clapp through the limit relative category of Fournier et al, we prove the existence of infinitely many solutions for an elliptic system with Dirichlet boundary conditions. Some existing results are extended.

Keywords:elliptic system; Dirichlet boundary condition; multiple solutions; generalized mountain pass theorem

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