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  • Research Article
  • Open Access

Existence and multiplicity of solutions for a class of superlinear -Laplacian equations

Boundary Value Problems20062006:47275

  • Received: 16 May 2006
  • Accepted: 6 July 2006
  • Published:


By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear -Laplacian equations: . In this paper, we suppose neither satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor is nondecreasing with respect to .


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Variant Version


Authors’ Affiliations

Department of Mathematics, School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China


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