On the Study of Nonlinear Capillarity Models Through Weighted Sobolev Spaces with Dirichlet Boundary Conditions

Manal Badgaish (), Lhoucine Hmidouch and Nacir Hmidouch ()
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Manal Badgaish: Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 24382, Saudi Arabia
Lhoucine Hmidouch: Mathematics Department, Faculty of Science, Chouaib Doukkali University, BP. 20, El Jadida 24000, Morocco
Nacir Hmidouch: Department of Mathematics, Talladega College, Talladega, AL 35160, USA

Mathematics, 2025, vol. 13, issue 20, 1-15

Abstract: We prove in this paper some existence and uniqueness results of weak solutions for some nonlinear degenerate parabolic problems arising from capillarity phenomena with the Dirichlet type boundary condition.

Keywords: nonlinear p -parabolic problem; weak solution; capillarity phenomena; weighted Sobolev space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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