On singular quasilinear elliptic equations with data measures

On singular quasilinear elliptic equations with data measures

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...

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Bibliographic Details
Main Authors: Alaa Nour Eddine, Aqel Fatima, Taourirte Laila
Format: Article
Language:English
Published: De Gruyter 2021-05-01
Series:Advances in Nonlinear Analysis
Subjects:
weak solution
quasilinear equation
data measures
isoperimetric inequality
singular nonlinearity
35j60
35j62
35j75
35r06
Online Access:https://doi.org/10.1515/anona-2020-0132
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spelling doaj-5371a1ee11144d71ab8307e2f02b3d022021-09-06T19:39:56ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2021-05-011011284130010.1515/anona-2020-0132On singular quasilinear elliptic equations with data measuresAlaa Nour Eddine0Aqel Fatima1Taourirte Laila2Laboratory LAMAI, Faculty of Sciences and Technology of Marrakech, University Cadi Ayyad B.P. 549, Abdelkarim Elkhattabi avenue, Marrakech - 40000, MoroccoHassan First University of Settat, Faculty of Sciences and Techniques, Computer, Networks, Mobility and Modeling laboratory, IR2M, 26000- Settat, MoroccoLaboratory LAMAI, Faculty of Sciences and Technology of Marrakech, University Cadi Ayyad B.P. 549, Abdelkarim Elkhattabi avenue, Marrakech - 40000, MoroccoThe 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.https://doi.org/10.1515/anona-2020-0132weak solutionquasilinear equationdata measuresisoperimetric inequalitysingular nonlinearity35j6035j6235j7535r06
collection DOAJ
language English
format Article
sources DOAJ
author Alaa Nour Eddine
Aqel Fatima
Taourirte Laila
spellingShingle Alaa Nour Eddine
Aqel Fatima
Taourirte Laila
On singular quasilinear elliptic equations with data measures
Advances in Nonlinear Analysis
weak solution
quasilinear equation
data measures
isoperimetric inequality
singular nonlinearity
35j60
35j62
35j75
35r06
author_facet Alaa Nour Eddine
Aqel Fatima
Taourirte Laila
author_sort Alaa Nour Eddine
title On singular quasilinear elliptic equations with data measures
title_short On singular quasilinear elliptic equations with data measures
title_full On singular quasilinear elliptic equations with data measures
title_fullStr On singular quasilinear elliptic equations with data measures
title_full_unstemmed On singular quasilinear elliptic equations with data measures
title_sort on singular quasilinear elliptic equations with data measures
publisher De Gruyter
series Advances in Nonlinear Analysis
issn 2191-9496
2191-950X
publishDate 2021-05-01
description 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.
topic weak solution
quasilinear equation
data measures
isoperimetric inequality
singular nonlinearity
35j60
35j62
35j75
35r06
url https://doi.org/10.1515/anona-2020-0132
work_keys_str_mv AT alaanoureddine onsingularquasilinearellipticequationswithdatameasures
AT aqelfatima onsingularquasilinearellipticequationswithdatameasures
AT taourirtelaila onsingularquasilinearellipticequationswithdatameasures
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