# American Institute of Mathematical Sciences

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

## Multiple sign-changing solutions of an elliptic eigenvalue problem

 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.
Citation: Aixia Qian, Shujie Li. Multiple sign-changing solutions of an elliptic eigenvalue problem. Discrete & Continuous Dynamical Systems - A, 2005, 12 (4) : 737-746. doi: 10.3934/dcds.2005.12.737
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