Existence of positive solutions of (p(x),q(x))‐Laplacian parabolic systems with right hand side defined as a multiplication of two separate functions

Salah Boulaaras; Youcef Bouizem; Rafik Guefaifia

doi:10.1002/mma.6069

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Existence of positive solutions of (p(x),q(x))‐Laplacian parabolic systems with right hand side defined as a multiplication of two separate functions

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Existence of positive solutions of (p(x),q(x))‐Laplacian parabolic systems with right hand side defined as a multiplication of two separate functions

Salah Boulaaras, Youcef Bouizem and Rafik Guefaifia

Mathematical methods in the applied sciences, Vol.43(5), pp.2615-2625

30/03/2020

DOI: https://doi.org/10.1002/mma.6069

Abstract

differential equations

p(x)‐growth conditions

p(x)−Laplacian

positive solutions

The paper deals with the study of the existence of weak positive solutions for a new class of the system of parabolic differential equations with respect to the symmetry conditions by using sub‐super solutions method. Our results are natural extensions from our previous ones in (Bol. Soc. Mat. Mex. 2019; 25:145‐162) and (Appl. Math E‐Notes. 2018; 18:209‐218), where we have already studied the existence of positive solutions for some classes of Laplacian elliptic problems by using one classical method.

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Title: Existence of positive solutions of (p(x),q(x))‐Laplacian parabolic systems with right hand side defined as a multiplication of two separate functions
Creators - without role: Salah Boulaaras - Qassim University
Youcef Bouizem - Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf
Rafik Guefaifia - Université Larbi Tébessi
Publication Details: Mathematical methods in the applied sciences, Vol.43(5), pp.2615-2625
Number of pages: 11
Identifiers: 9928624508331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article