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July  2005, 12(4): 737-746. doi: 10.3934/dcds.2005.12.737

Multiple sign-changing solutions of an elliptic eigenvalue problem

Aixia Qian 1, and  Shujie Li 2,

1. 

Department of Mathematics, Qufu Normal University, Qufu Shangdong, 273165, China
2. 

Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080

Received  December 2003 Revised  October 2004 Published  January 2005

We prove the existences of multiple sign-changing solutions for a semilinear elliptic eigenvalue problem with constraint by using variational methods under weaker conditions.
Keywords: Minimax theory, sign-changing solution, elliptic eigenvalue problems..
Mathematics Subject Classification: Primary: 35J25, 85E0.
Citation: Aixia Qian, Shujie Li. Multiple sign-changing solutions of an elliptic eigenvalue problem. Discrete & Continuous Dynamical Systems, 2005, 12 (4) : 737-746. doi: 10.3934/dcds.2005.12.737
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