On singular quasilinear elliptic equations with data measures-Reference-Cited by-同舟云学术

On singular quasilinear elliptic equations with data measures

Published:2021-01-01 Issue:1 Volume:10 Page:1284-1300
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Alaa Nour Eddine¹,Aqel Fatima²,Taourirte Laila¹

Affiliation:

1. Laboratory LAMAI, Faculty of Sciences and Technology of Marrakech , University Cadi Ayyad B.P. 549 , Abdelkarim Elkhattabi avenue , Marrakech - 40000 , Morocco

2. Hassan First University of Settat , Faculty of Sciences and Techniques, Computer, Networks, Mobility and Modeling laboratory , IR2M, 26000 - Settat , Morocco

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0132/pdf

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