Infinitely many solutions of the Neumann problem for elliptic equations involving the p-Laplacian

摘要

In this paper, we prove the existence of an unbounded sequence of weak solutions under an appropriate oscillating behaviour of phi for a Neumann problem of the type {-div(delu(p-2)delu) + lambda (x)u(p-2)u = phi (x,u) in Omega partial derivativeu/partial derivative nu = 0 on partial derivative Omega. [References: 3]