On singular quasilinear elliptic equations with data measures

Alaa Nour Eddine; Aqel Fatima; Taourirte Laila

doi:10.1515/anona-2020-0132

Advances in Nonlinear Analysis (May 2021)

On singular quasilinear elliptic equations with data measures

Alaa Nour Eddine,
Aqel Fatima,
Taourirte Laila

Affiliations

Alaa Nour Eddine: Laboratory LAMAI, Faculty of Sciences and Technology of Marrakech, University Cadi Ayyad B.P. 549, Abdelkarim Elkhattabi avenue, Marrakech - 40000, Morocco
Aqel Fatima: Hassan First University of Settat, Faculty of Sciences and Techniques, Computer, Networks, Mobility and Modeling laboratory, IR2M, 26000- Settat, Morocco
Taourirte Laila: Laboratory LAMAI, Faculty of Sciences and Technology of Marrakech, University Cadi Ayyad B.P. 549, Abdelkarim Elkhattabi avenue, Marrakech - 40000, Morocco

DOI: https://doi.org/10.1515/anona-2020-0132
Journal volume & issue: Vol. 10, no. 1
pp. 1284 – 1300

Abstract

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The aim of this work is to study a quasilinear elliptic equation with singular nonlinearity and data measure. Existence and non-existence results are obtained under necessary or sufficient conditions on the data, where the main ingredient is the isoperimetric inequality. Finally, uniqueness results for weak solutions are given.

Published in Advances in Nonlinear Analysis

ISSN: 2191-9496 (Print); 2191-950X (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics: Analysis
Website: https://www.degruyter.com/view/j/anona

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