Existence of Positive Weak Solutions for Quasi-Linear Kirchhoff Elliptic Systems via Sub-Supersolutions Concept-Reference-Cited by-同舟云学术

Existence of Positive Weak Solutions for Quasi-Linear Kirchhoff Elliptic Systems via Sub-Supersolutions Concept

Published:2020-04-13 Issue: Volume:2020 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Menaceur Amor¹,Boulaaras Salah Mahmoud²³^ORCID,Guefaifia Rafik⁴^ORCID,Alharbi Asma²

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Fac. MISM, Department of Mathematics, Faculty of MISM Guelma University, P.O. Box 401, Guelma 24000, Algeria

2. Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

4. Department of Mathematics, Faculty of Exact Sciences, University Tebessa, Tebessa, Algeria

Abstract

By using the sub- and supersolutions concept (Schmitt, 2007), we prove in this paper the existence of positive solutions of quasi-linear Kirchhoff elliptic systems in bounded smooth domains. This work is an extension of the recent work of Boulaaras et al., 2020.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/6527672.pdf

Reference21 articles.

1. Some remarks on non local elliptic and parabolic problems

2. On an elliptic equation of p-Kirchhoff type via variational methods

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