Special Session 105: Nonlinear Differential Problems on Flat and Curved Structures: Variational and Topological Methods

Nonsmooth analysis for boundary value problems with discontinuous nonlinearities

Valeria Morabito
University of Messina
Italy
Co-Author(s):    
Abstract:
In this talk, we investigate the existence of solutions for boundary value problems governed by nonlinear differential equations with discontinuous nonlinearities, employing nonsmooth techniques from variational analysis. Specifically, we focus on Clarke`s theory for locally Lipschitz functionals, which provides a framework for analyzing functionals that exhibit nonsmooth behavior, extending classical variational methods to non-smooth setting.