Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 227-238.

• Articles • Previous Articles     Next Articles

Branches of |Solutions to Semilinear Polyharmonic Equations

JIN Ling-Yu, WANG Xia, FANG Shao-Mei   

  1. College of Science, South China Agriculture University, |Guangzhou 510642
  • Received:2008-05-26 Revised:2009-09-20 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金(10871075)、 广东省自然科学基金(05300889)、广东省教育厅项目(4900-209031)和华南农业大学校长基金(4900-K07418)资助.

Abstract:

This paper considers a class of nonlinear polyharmonic eigenvalue problem, describes the behavior of the branches of solutions emanating from an eigenvalue of odd multiplicity below the essential spectrum of the linearized problem. The discussion is based on the degree theory for C2 proper Fredholm maps developed by P. M. Fitzpatrick, J. Pejsachowicz and P. J. Rabier[7].

CLC Number: 

  • 35J65
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