Special Session 33: Variational, Topological and Set-Valued Methods for Nonlinear Differential Problems

The p-Laplacian obstacle problem with singular and discontinuous reaction term
Umberto Guarnotta
University of Catania
Italy
Co-Author(s):    Annamaria Barbagallo
Abstract:
The talk is devoted to discuss existence and regularity of solutions to a p-Laplacian obstacle problem whose reaction is singular (i.e., it blows up when the solution approaches zero) and possesses a null-measure set of discontinuity points. The techniques presented are based on non-smooth calculus, convex analysis, monotonicity techniques, regularity theory, and locality properties.