Articles

NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY

  • FANG Fei ,
  • TAN Zhong
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  • School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received date: 2011-04-12

  Revised date: 2012-07-02

  Online published: 2013-03-20

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.

Cite this article

FANG Fei , TAN Zhong . NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY[J]. Acta mathematica scientia, Series B, 2013 , 33(2) : 404 -412 . DOI: 10.1016/S0252-9602(13)60007-7

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