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
Description
Summary: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.
ISSN:2191-9496
2191-950X

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