Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations

By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear p-Laplacian equations: -Delta(p)u = f(x, u). In this paper, we suppose neither f satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor f(x, t)/vertical bar t vertical bar(p-1) is nondecreasing with respect to vertical bar t vertical bar. Copyright (C) 2006.