Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (1): 165-173.

• Articles • Previous Articles     Next Articles

Nontrivial Solutions for p-Laplacian Dirichlet Problem

 PEI Rui-Chang   

  1. College of Mathematics and Statistics, Tianshui Normal University, Ganshu Tianshui 741001
  • Received:2011-11-04 Revised:2012-10-30 Online:2013-02-25 Published:2013-02-25
  • Supported by:

    国家自然科学基金(10671156)资助

Abstract:

A class of particular p-Laplacian Dirichlet problem is studied. When the nonlinear term is superlinear at the positive infinity but asymptotically linear at the negative infinity, the existence of nontrivial solutions is obtained by using minimax methods.

Key words: Mountain pass theorem, Asymptotically linear, Superlinear, Dirichlet problem, One side resonance

CLC Number: 

  • 35J35
Trendmd