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  • Research Article
  • Open Access

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Boundary Value Problems20102010:268946

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


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.


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

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Authors’ Affiliations

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


© Bitao Cheng et al. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.