Open Access 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

Published: 22 December 2010

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.