Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (2): 404-412.doi: 10.1016/S0252-9602(13)60007-7

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NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY

 FANG Fei, TAN Zhong*   

  1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  • Received:2011-04-12 Revised:2012-07-02 Online:2013-03-20 Published:2013-03-20
  • Contact: TAN Zhong,tan85@xmu.edu.cn E-mail:fangfei68@163.com; tan85@xmu.edu.cn
  • Supported by:

    This work was supported by National Natural Science Foundation of China - NSAF (10976026) and National Natural Science Foundation of China (11271305).

Abstract:

Using variational methods and Morse theory, we obtain some existence results of multiple solutions for certain semilinear problems associated with general Dirichlet forms.

Key words: Dirichlet forms, Morse theory, critical groups

CLC Number: 

  • 35A15
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