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Open Access Research

Existence and multiplicity of solutions for a fourth-order elliptic equation

Fanglei Wang1* and Yukun An2

Author Affiliations

1 College of Science, Hohai University, Nanjing, 210098, P. R. China

2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

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Boundary Value Problems 2012, 2012:6  doi:10.1186/1687-2770-2012-6

Published: 17 January 2012

Abstract

This article is concerned with the existence and multiplicity of nontrival solutions for a fourth-order elliptic equation

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2012/1/6/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2012/1/6/mathml/M1">View MathML</a>

by using the mountain pass theorem.

Keywords:
fourth-order elliptic equation; nontrivial solutions; mountain pass theorem