Infinitely Many Solutions for Mixed Elliptic Problems Involving the p−Laplacian
Gabriele Bonanno, Giuseppina D’Aguì, Νικόλαος Παπαγεωργίου · Advanced Nonlinear Studies · 2015
Abstract In this paper the existence of infinitely many solutions for nonlinear elliptic problems involving the p-Laplacian operator with mixed Dirichlet-Neumann boundary conditions is established. The key assumption is a suitable oscillating behavior, either at infinity or at zero, of the nonlinearity. The approach is based on the critical point theory.