Existence results for the p-Laplacian with nonlinear boundary conditions

摘要

In this paper we study the existence of nontrivial solutions for the problem Delta (p)u = u (p-2)u in a bounded smooth domain Omega subset of R-N, with a nonlinear boundary condition given by delu (p-2)partial derivativeu/partial derivative nu = f(u) on the boundary of the domain. The proofs are based on variational and topological arguments. (C) 2001 Academic Press. [References: 25]