Infinitely Many Solutions for Neumann Problems Associated to Non-Homogeneous Differential Operators through Orlicz-Sobolev Spaces

The goal of this paper is to establish the existence of an unbounded sequence of weak solutions for the following non-homogeneous Neumann problem {-div(alpha(x,vertical bar del u(x)vertical bar)del u(x)) + alpha(x, vertical bar u(x)vertical bar)u(x) = lambda f(x, u(x)) for x is an element of Omega, alpha(x, vertical bar del u(x)vertical bar)partial derivative u/partial derivative v(x) = mu g(gamma(u(x))) for x is an element of partial derivative Omega. To deal with the existence of the mentioned solutions, we use the variational methods and critical point theory, in an appropriate Orlicz-Sobolev space.