Electron. J. Differential Equations, Vol. 2024 (2024), No. 73, pp. 1-12.
Existence of weak solutions for nonlocal Dirichlet problems via Young measure theory
Mouad Allalou, Mohamed El Ouaarabi, Abderrahmane Raji
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.
DOI: 10.58997/ejde.2024.73
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Mouad Allalou
Applied Mathematics and Scientific Computing Laboratory
Faculty of Science and Technics
Sultan Moulay Slimane University
Beni Mellal, BP 523, 23000, Morocco
email: mouadallalou@gmail.com
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Mohamed El Ouaarabi
Fundamental and Applied Mathematics Laboratory
Faculty of Sciences Aïn Chock, Hassan II University
Casablanca, BP 5366, 20100, Morocco
email: mohamed.elouaarabi@etu.univh2c.ma
mohamedelouaarabi93@gmail.com
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Abderrahmane Raji
Applied Mathematics and Scientific Computing Laboratory
Faculty of Science and Technics
Sultan Moulay Slimane University
Beni Mellal, BP 523, 23000, Morocco
email:rajiabd2@gmail.com
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