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

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

Aixia Qian1 and Shujie Li2

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

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.