Boundary Value Problems
Volume 2010 (2010), Article ID 241518, 11 pages
doi:10.1155/2010/241518
Research Article

Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities

Ruichang Pei1,2

1Center for Nonlinear Studies, Northwest University, Xi'an 710069, China
2Department of Mathematics, Tianshui Normal University, Tianshui 741001, China

Received 26 February 2010; Revised 2 April 2010; Accepted 22 April 2010

Academic Editor: Kanishka Perera

Copyright © 2010 Ruichang Pei. 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

The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.