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

Boundary Value Problems volume 2006, Article number: 47275 (2006) Cite this article

Abstract

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.

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Authors and Affiliations

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

    Juan Wang & Chun-Lei Tang

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  1. Juan Wang
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  2. Chun-Lei Tang
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Correspondence to Juan Wang.

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Wang, J., Tang, CL. Existence and multiplicity of solutions for a class of superlinear-Laplacian equations. Bound Value Probl 2006, 47275 (2006). https://doi.org/10.1155/BVP/2006/47275

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  • DOI: https://doi.org/10.1155/BVP/2006/47275

Keywords

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