Volume no :4, Issue no: 1, January 2010

Journal of Mathematical Sciences: Advances and Applications

MULTIPLE SOLUTIONS FOR ELLIPTIC EQUATIONS WITH DIFFERENT KINDS OF NONSTANDARD GROWTH CONDITIONS

Author's: Dequan Zhang
Pages: [107] - [121]
Received Date: July 31, 2009
Submitted by:

Abstract

In this paper, we investigate the existence and multiplicity of solutions for equations with different kinds of boundary conditions by using the Ricceri’s variational principle. Sufficient conditions are obtained for the existence of at least three solutions of the equation under consideration and our result generalizes the corresponding known results.

Keywords

variable exponent Sobolev space, Ricceri’s variational principle.