Special Session 95: Nonlinear analysis and elliptic boundary value problems

Variational methods for nonlinear differential problems with discontinuous reaction terms

Valeria Morabito
University of Messina
Italy
Co-Author(s):    
Abstract:
In this talk, we present existence results for a class of nonlinear differential problems with a discontinuous reaction term and explore their link to differential inclusions. The discontinuity of the reaction term necessitates an appropriate framework that can address the nonsmooth behavior of the nonlinearity. To achieve this, our approach is based on variational methods from nonsmooth analysis, specifically focusing on Clarke`s theory of locally Lipschitz functionals.