Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 353-365.

• Articles • Previous Articles     Next Articles

Multiple Solutions for Biharmonic Equations with Concave-Convex Nonlinearities

 ZHANG Ya-Jing   

  1. School of Mathematical Sciences, Shanxi University, Taiyuan |030006
  • Received:2011-06-08 Revised:2012-12-04 Online:2013-04-25 Published:2013-04-25
  • Supported by:

    山西省自然科学基金(2009011008)、山西省回国留学人员科研项目(2011-005)和山西省高等学校优秀青年学术带头人支持计划资助

Abstract:

In this paper, we consider biharmonic equations involving concave-convex nonlinearities and sign-changing weight function. With the help of Nehari manifold, we prove the existence of two solutions for the biharmonic equation.

 

Key words: Biharmonic equations, Concave-convex nonlinearities, Nehari manifold

CLC Number: 

  • 35J35
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