Variational-hemivariational inequalities of Kirchhoff-type with small perturbations of nonhomogeneous Neumann boundary conditions

Abstract

In this paper the authors study variational-hemivariational inequalities of Kirchhoff-type with nonhomogeneous Neumann boundary conditions. They show that an appropriate oscillating behavior of the nonlinear part, even under small perturbations, ensures the existence of infinitely many solutions. The main tool used to obtain their
results is a recent critical-point theorem for nonsmooth functionals.