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arXiv · 2508.06359

Sub-supersolutions method for singular quasilinear systems involving gradient terms

Abdelkrim Moussaoui
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Abstract

Existence, regularity and location of solutions to quasilinear singular elliptic systems with general gradient dependence are established developing a method of sub-supersolution. The abstract theorems involving sub-supersolutions are applied to prove the existence of positive solutions for convective and absorption singular systems.

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Abdelkrim Moussaoui. 2025-08-08. Sub-supersolutions method for singular quasilinear systems involving gradient terms. https://arxiv.org/abs/2508.06359

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