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

Q: What type of study is this?

This is a Quantitative Study study.

Fessel Achhoud; Abdelkader Bouajaja; Hicham Redwane

doi:10.48550/arxiv.2502.16265

February 22, 2025Open Access

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

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Key Points

Renormalized solutions exist for equations with Hardy potential and nonlinear convection terms.
The right-hand side of the equations involves an L^m function with m≥1, indicating specific growth conditions.
The study effectively addresses the complexities of nonlinear degenerate elliptic equations under specified conditions.
Understanding these solutions can provide insights into various applications in mathematical physics.

Implication

This analysis proves existence of solutions with a Hardy potential and convection term in nonlinear contexts.

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 Lᵐ function, with m≥ 1.

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Cite This Study

Achhoud et al. (2025) studied this question.

synapsesocial.com/papers/68e5a0557f330f793683f12a https://doi.org/10.48550/arxiv.2502.16265

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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