Existence of Positive Solutions for a Class ofpx,qx-Laplacian Elliptic Systems with Multiplication of Two Separate Functions-Reference-Cited by-同舟云学术

Existence of Positive Solutions for a Class ofpx,qx-Laplacian Elliptic Systems with Multiplication of Two Separate Functions

Published:2020-01-20 Issue: Volume:2020 Page:1-10
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Bouizem Youcef¹^ORCID,Boulaaras Salah Mahmoud²³^ORCID,Allahem Ali⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Mathematics and Informatics, University of Science and Technology of Oran Mohamed Boudiaf El Mnaouar, Bir El’Djir, Oran 31000, Algeria

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

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

4. Department of Mathematics, College of Sciences, Qassim University, Buraydah, Saudi Arabia

Abstract

The paper deals with the study of the existence of weak positive solutions for a new class of the system of elliptic differential equations with respect to the symmetry conditions and the right hand side which has been defined as multiplication of two separate functions by using the sub-supersolutions method (1991 Mathematics Subject Classification: 35J60, 35B30, and 35B40).

Funder

Qassim University

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2020/3756406.pdf

Reference67 articles.

1. On integral representation for solution of generalized Sturm-Liouville equation with discontinuity conditions

2. L∞-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem

3. The finite element approximation of evolutionary Hamilton–Jacobi–Bellman equations with nonlinear source terms

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