On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces-Reference-Cited by-同舟云学术

On a class of nonlinear degenerate elliptic equations in weighted Sobolev spaces

Published:2022-10-26 Issue:1 Volume:30 Page:81-94
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

El Ouaarabi Mohamed¹^ORCID,Allalou Chakir¹^ORCID,Melliani Said¹^ORCID

Affiliation:

1. Applied Mathematics and Scientific Computing Laboratory , Faculty of Science and Technics , Sultan Moulay Slimane University , BP 523, 23000 , Beni Mellal , Morocco

Abstract

Abstract We prove the existence and uniqueness of a weak solution to a Dirichlet boundary value problem for a class of nonlinear degenerate elliptic equations in the setting of weighted Sobolev spaces. Our proof is based on the weighted Sobolev spaces theory and the Browder–Minty theorem. First, we transform the problem into an equivalent operator equation; second, we utilized the Browder–Minty theorem to prove the existence and uniqueness of a weak solution to the considered problem.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2191/pdf

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