Singular Nonlinear Elliptic Equations With a Lower‐Order Term

ABSTRACT In this work, we deal with a class of nonlinear singular elliptic problems of the type where is a bounded open subset of is a Carathéodory function (i.e., continuous for each in and measurable for almost every in ), is a measurable nonnegative function which belongs to for some , and the source is a nonnegative (not identically zero) function belonging to for some . Our results will depend on the summability of and on the values of , and .

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-10-13
DOI
https://doi.org/10.1002/mma.71026
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Singular Nonlinear Elliptic Equations With a Lower‐Order Term

Amine Marah, Hicham Redwane
Mathematical Methods in the Applied Sciences
Nonlinear Partial Differential Equations
article

Singular Nonlinear Elliptic Equations With a Lower‐Order Term

Amine Marah, Hicham Redwane
article en

Abstract

ABSTRACT In this work, we deal with a class of nonlinear singular elliptic problems of the type where is a bounded open subset of is a Carathéodory function (i.e., continuous for each in and measurable for almost every in ), is a measurable nonnegative function which belongs to for some , and the source is a nonnegative (not identically zero) function belonging to for some . Our results will depend on the summability of and on the values of , and .

Mathematical Methods in the Applied Sciences
Chouaib Doukkali University (MA), Université Hassan 1er (MA)
Openalex Percentile: Top 7%
Nonlinear Partial Differential Equations
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