Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights-Reference-Cited by-同舟云学术

Existence of Positive Weak Solutions for a New Class of p,q Laplacian Nonlinear Elliptic System with Sign-Changing Weights

Published:2020-05-04 Issue: Volume:2020 Page:1-6
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Guefaifia Rafik¹^ORCID,Boulaaras Salah Mahmoud²³^ORCID,Alodhaibi Sultan²,Alkhalaf Salem⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Exact Sciences, Larbi Tebessi University, Tebessa 12002, 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 Computer, College of Sciences and Arts, Al-Rass, Qassim University, Saudi Arabia

Abstract

In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2020/5302513.pdf

Reference32 articles.

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