Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1264-1274.

• Articles • Previous Articles     Next Articles

Multiplicity of Positive Solutions for a (p, q-Laplacian Elliptic Systems in RN

  

  1. 1.Department of Mathematics, Changzhi University, Shanxi Changzhi 046011;
    2.Department of Mathematics, College of Science, Yanbian University, Jilin |Yanji 133002
  • Received:2013-07-21 Revised:2014-05-14 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11261062)和山西省高校科技研究开发项目(20111129, 2013158)资助

Abstract:

In the paper, by using Nehari manifold and Ljusternik-Schnirelmann theory, we investigate how the shape of the graph of f(x) affects the number of positive solutions of a class of (p, q)-Laplacian systems.

Key words: Positive solutions, (p, q)-Laplacian quasilinear systems, Nehari manifold, Ljusternik-Schnirelmann category theory

CLC Number: 

  • 34B15
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