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  • Research Article
  • Open Access

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Boundary Value Problems20102010:268946

https://doi.org/10.1155/2010/268946

  • Received: 25 October 2010
  • Accepted: 14 December 2010
  • Published:

Abstract

By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems , in ; , on . Existence results of two nontrivial solutions and infinite many solutions are obtained.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Nontrivial Solution

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Authors’ Affiliations

(1)
College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan, 655011, China
(2)
Department of Mathematics, Yunnan Normal University, Kunming, Yunnan, 650092, China

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