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Open Access

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Boundary Value Problems20102010:268946

Received: 25 October 2010

Accepted: 14 December 2010

Published: 22 December 2010


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 EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationNontrivial Solution

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Authors’ Affiliations

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