Work

Homogenization of a quasilinear elliptic problem in porous media with Robin-type conditions and L¹ data

Year: 2025

Type: article

Abstract: We consider a class of quasilinear elliptic problems with L1 data, set in a domain periodically perforated by two kinds of holes. A Robin-type condition depending on a parameter γ is imposed on the boundary of some holes, while a Dirichlet condition is prescribed on the boundary of the remaining holes as well as on the external boundary of the domain. Our goal is to describe the asymptotic behavior of the renormalized solution of this problem, given that the solution does not belong to H1 and to derive the corresponding limit problem.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v20i2.3253

Authors: Chafia Karek, Taha Khalil Abassi, Amar Ould-Hammouda, Fares Yazid

Institutions: Amar Telidji University of Laghouat, National School of Nanoscience and Nanotechnology

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413301889

FWCI:

Cites: 6

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Related to: 10