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Abstract and Applied Analysis
Volume 2005, Issue 6, Pages 673-683
http://dx.doi.org/10.1155/AAA.2005.673

On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem

1Department of Mathematics, Qufu Normal University, Qufu Shandong 273165, China
2Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China

Received 12 February 2004

Copyright © 2005 Hindawi Publishing Corporation. 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.

Abstract

By means of Minimax theory, we study the existence of one nontrivial solution and multiple nontrivial solutions for a fourth-order semilinear elliptic problem with Navier boundary conditions.