The influence of the Hardy potential and a Convection Term on a Nonlinear Degenerate Elliptic Equations

2025/02/22 by Achhoud, Fessel, Bouajaja, Abdelkader, Redwane, Hicham
#35J60 #35K05 #35K67 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.16265

Abstract

This paper is devoted to prove existence of renormalized solutions for a class of non--linear degenerate elliptic equations involving a non--linear convection term, which satisfies a growth properties, and a Hardy potential. Additionally, we assume that the right-hand side is an L^m function, with m≥ 1.

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