Sub-supersolutions method for singular quasilinear systems involving gradient terms

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This is a Quantitative Study study.

Abdelkrim Moussaoui

doi:10.48550/arxiv.2508.06359

August 8, 2025Open Access

Sub-supersolutions method for singular quasilinear systems involving gradient terms

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Key Points

The method demonstrates the existence of positive solutions in singular elliptic systems, enhancing mathematical analysis.
Key findings show that sub-supersolutions effectively ensure solution regularity and location across complex systems.
The application of abstract theorems to prove existence underlines the utility of this methodology in solving nonlinear equations.
Implications extend to both convective and absorption systems, enhancing insights into complex mathematical behaviors.

Implication

This approach establishes existence of positive solutions in quasilinear elliptic systems, indicating methodological significance.

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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Cite This Study

Abdelkrim Moussaoui (2025) studied this question.

synapsesocial.com/papers/68f12bfb2107091eab27a471 https://doi.org/10.48550/arxiv.2508.06359

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Sub-supersolutions method for singular quasilinear systems involving gradient terms

Key Points

Implication

Abstract

Discussion

Cite This Study

Sub-supersolutions method for singular quasilinear systems involving gradient terms

Key Points

Implication

Abstract

Discussion

Cite This Study

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