Nonlinear Perturbations of a Periodic Quasilinear Elliptic Problem with Discontinuous Nonlinearity in RN1

Abstract

Using variational methods, we estabilish existence of positive solutions for a class of quasilinear elliptic problems                                                  where  is a positive, continuous perturbations of a periodic function, H is the Heaviside function and f is a continuous function with subcritical growth. The results of the semilinear equations are extended to the quasilinear problem.