Multiplicity results for a Neumann problem involving the p-Laplacian

In this paper, we establish some multiplicity results for the following Neumann problem: −div |∇u|p−2∇u + λ(x)|u|p−2u = α(x)f (u) in Ω, ∂u/∂ν =0 on∂Ω. The multiple solutions are obtained by combining an existence theorem recently proved by G. Anello and G. Cordaro with well-known critical point theorems.  2002 Elsevier Science (USA). All rights reserved.