Multiplicity of solutions for a class of elliptic boundary value problems

In this paper we study the existence of infinitely many solutions for a class of elliptic boundary value problems. The existence results include both superlinear case and an asymptotically linear case. Our arguments are based on a recently given new Fountain Theorem due to Zou [W. Zou, Variant Fountain Theorems and their applications, Manuscripta Math. 104 (2001) 343–358].