Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 73, pp. 1-12.

Title: Existence of weak solutions for nonlocal Dirichlet problems via Young measure theory

Authors: Mouad Allalou (Sultan Moulay Slimane Univ., Beni Mellal, Morocco)
         Mohamed El Ouaarabi (Hassan II Univ., Casablanca, Morocco)
         Abderrahmane Raji (Sultan Moulay Slimane Univ., Beni Mellal, Morocco)

Abstract: 
This article investigates the existence of weak solutions for a class of 
nonlocal problems with Dirichlet boundary conditions. 
The proof of the existence result relies on  Galerkin's approximation and Young's 
measure theory.

Submitted October 5, 2024. Published November 17, 2024.
Math Subject Classifications: 35J60, 35J25, 35D30.
Key Words: Young measures; Galerkin’s approximation; Sobolev space.