Existence of solutions for a class of singular elliptic systems with\n convection term

2013/07/03 by Claudianor O. Alves, Alves, Claudianor O., Abdelkrim Moussaoui +1 · 1 citation
Computer Science · Mathematics · #35J50 #35J60 #35J75 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1307.1014

openalex publication_date 2013/07/03 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We show the existence of positive solutions for a class of singular elliptic\nsystems with convection term. The approach combines pseudomonotone operator\ntheory, sub and supersolution method and perturbation arguments involving\nsingular terms.\n

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• Sub-supersolutions method for singular quasilinear systems involving gradient terms

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