Open Access

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Boundary Value Problems20102010:268946

DOI: 10.1155/2010/268946

Received: 25 October 2010

Accepted: 14 December 2010

Published: 22 December 2010

Abstract

By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems https://static-content.springer.com/image/art%3A10.1155%2F2010%2F268946/MediaObjects/13661_2010_Article_910_IEq1_HTML.gif , in https://static-content.springer.com/image/art%3A10.1155%2F2010%2F268946/MediaObjects/13661_2010_Article_910_IEq2_HTML.gif ; https://static-content.springer.com/image/art%3A10.1155%2F2010%2F268946/MediaObjects/13661_2010_Article_910_IEq3_HTML.gif , on https://static-content.springer.com/image/art%3A10.1155%2F2010%2F268946/MediaObjects/13661_2010_Article_910_IEq4_HTML.gif . Existence results of two nontrivial solutions and infinite many solutions are obtained.

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Authors’ Affiliations

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

Copyright

© 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.