Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 227-233.

• Articles • Previous Articles     Next Articles

The Existence of |Solution for p-Laplace Equation Involving Resonant Term

 ZENG Xiao-Yu, WAN Jun-Xia   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, |Wuhan 430071
  • Received:2013-05-07 Revised:2013-12-16 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家自然科学基金(11071245, 11101418, 11271360)资助.

Abstract:

In this paper, a class of p-Laplace equations involving  a term of asymptotically |u|p-2u at infinity  are studied under the Dirichlet boundary condition. By applying the  linking theorem, the existence of nontrivial solution is obtained  when  λ1λ<λ2 , where λ1 is the first eigenvalue of (-?p, W1, p0(Ω) ).

Key words: Asymptotically , u, p-2u, p-Laplace equation, Linking theorem

CLC Number: 

  • 35J20
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