Open Access Research

Existence of solutions for a class of biharmonic equations with the Navier boundary value condition

Ruichang Pei

Author Affiliations

School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, P.R. China

Boundary Value Problems 2012, 2012:154  doi:10.1186/1687-2770-2012-154

Published: 28 December 2012

Abstract

In this paper, the existence of at least one nontrivial solution for a class of fourth-order elliptic equations with the Navier boundary value conditions is established by using the linking methods.

Keywords:
biharmonic; Navier boundary value problems; local linking