Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION

  • Mashiyev, Rabil A. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ;
  • Ogras, Sezai (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ;
  • Yucedag, Zehra (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ;
  • Avci, Mustafa (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY)
  • Received : 2008.10.07
  • Published : 2010.07.01
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Abstract

In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.

Keywords

Acknowledgement

Supported by : Dicle University

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