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Open Access Open Badges Research Article

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Bitao Cheng1, Xian Wu2* and Jun Liu1

Author 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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Boundary Value Problems 2010, 2010:268946  doi:10.1155/2010/268946

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/268946

Received:25 October 2010
Accepted:14 December 2010
Published:22 December 2010

© 2010 Bitao Cheng et al.

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.


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.

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