Existence of non-negative periodic solutions for a degenerate anisotropic parabolic equation with strongly nonlinear source-Reference-Cited by-同舟云学术

Existence of non-negative periodic solutions for a degenerate anisotropic parabolic equation with strongly nonlinear source

Published:2023-10-27 Issue:0 Volume:0 Page:
ISSN:0174-4747
Container-title:Analysis
language:en
Short-container-title:

Author:

Jourhmane Hamza¹,Kassidi Abderrezak¹^ORCID,Elomari M’hamed¹,Hilal Khalid¹

Affiliation:

1. Department of Mathematics , Laboratory of Applied Mathematics and Scientific Computing , Sultan Moulay Slimane University , Beni Mellal , Morocco

Abstract

Abstract The purpose of the present work is investigating a degenerate parabolic equation with anisotropic p-Laplacian operator and strongly nonlinear source under boundary conditions of Dirichlet type; the existence of a periodic non-negative solution is shown. The proof is based on the Leray–Schauder topological degree, which is tricky to work with in this kind of equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anly-2023-0033/pdf

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