Special Session 93: Local and nonlocal elliptic boundary value problems

Existence and multiplicity results for differential boundary value problems with possible discontinuous reaction
Roberto Livrea
University of Messina
Italy
Co-Author(s):    
Abstract:
The aim of the talk is to show some recent results regarding differential problems involving different boundary conditions. In particular, the critical point theory for non-differentiable functions is exploited for studying certain classes of parametric problems. Under suitable assumptions on the reaction terms, the existence of multiple solutions is established provided that the parameter belongs to different computable intervals. References 1. G. Bonanno and S. A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal., 89 (2010), 1-10 2. P. Candito, R. Livrea and B. Vassallo, Sturm-Liouville equations with discontinuous nonlinearity, preprint 3. R. Livrea, B. Vassallo. Three weak solutions to a periodic boundary Sturm-Liouville problem with discontinuous reaction, Discret. Contin. Dyn. Syst.-Ser. S, 2025, 18(6), 1660-1672. doi: 10.3934/dcdss.2024192