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Open Access Research

Multiple solutions for a fourth-order nonlinear elliptic problem

Ruichang Pei

Author affiliations

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

Citation and License

Boundary Value Problems 2012, 2012:39  doi:10.1186/1687-2770-2012-39

Published: 5 April 2012

Abstract

The existence of multiple solutions for a class of fourth-order elliptic equation with respect to the generalized asymptotically linear conditions is established by using the minimax method and Morse theory.

Keywords:
fourth-order elliptic boundary value problems; multiple solutions; mountain pass theorem; Morse theory.