Giuseppina Barletta

A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). By combining variational with degree theoretic techniques, we prove a multiplicity theorem. In the process, we also prove a result of independent interest relating

A variational approach to multiplicity results for boundary-value problems on the real line

{W_n^{1,p}}

Applications of two critical point results for non-differentiable indefinite functionals

and

Existence of three periodic solutions for a non-autonomous second order system

{C_n^{1}}

A nonlinear eigenvalue problem for the periodic scalar p-Laplacian

local minimizers, of a nonsmooth locally Lipschitz functional.

Existence results for semilinear elliptical hemivariational inequalities

In this paper, a dual version of the Mountain Pass Theorem and the Generalized Mountain Pass Theorem are extended to functions that are locally Lipschitz only. An application involving elliptic hemivariational inequalities is next examined.