Existence and a priori estimates of solutions for quasilinear singular\n elliptic systems with variable exponents

2017/07/26 by Abdelkrim Moussaoui, Moussaoui, Abdelkrim, J Vélin +1 · 1 citation
Engineering · Mathematics · #35J48 #35J75 #35J92 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1707.08649

openalex publication_date 2017/07/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

This article sets forth results on the existence, a priori estimates and\nboundedness of positive solutions of a singular quasilinear systems of elliptic\nequations involving variable exponents. The approach is based on Schauder's\nfixed point Theorem. A Moser iteration procedure is also obtained for singular\ncooperative systems involving variable exponents establishing a priori\nestimates and boundedness of solutions.\n

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