In this paper, we study the existence of multiple solutions to the following nonlinear elliptic boundary value problem of p-Laplacian type: {-Delta(p)u = f(x,u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, where 1 < p < infinity, Omega subset of R-N is a bounded smooth domain, Delta(p)u = div (vertical bar Du vertical bar(p-2)Du) is the p-Laplacian of u and f: Omega x R -> R satisfies lim(vertical bar t vertical bar ->infinity) f(x, t)/vertical bar t vertical bar(p-2)t = l uniformly with respect to x is an element of Omega, and l is not an eigenvalue of -Delta...