A VARIATIONAL APPROACH FOR A NONLOCALAND NONVARIATIONAL ELLIPTIC PROBLEM

摘要

We prove results concerning the existence of solutions for the problem - a(x, f_Ω u dx)Δu = f (x, u) in Ω, where Ω is a bounded regular domain and f : Ω x R - R is a function having subcritical growth. Although we are facing a problem with lack of variational structure we will be able to apply variational technique (the Mountain pass theorem) by suitably using a device introduced in [8].