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387183

A note on discontinuous problem with a free boundary

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Last updated: 05 Jan 2025

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Abstract

We study a nonlinear elliptic problem with discontinuous nonlinearity ðPÞ Du ¼ fðuÞHðl  uÞ in X;
u ¼0 on @X;  where H is the Heaviside's unit function, f, h are given functions and l is a positive real parameter.
We prove the existence of a unique solution and characterize the corresponding free boundary. Our methods relies on variational inequality approach combining with fixed point arguments.

DOI

10.1016/j.joems.2011.09.002

Keywords

Variational inequalities, Uniqueness, Free boundary

Authors

First Name

Sabri

Last Name

Bensid

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, University of Tlemcen, B.P. 119, Tlemcen 13000, Algeria

Email

edp_sabri@yahoo.fr

City

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Orcid

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First Name

Sidi Mohammed

Last Name

Bouguima

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, University of Tlemcen, B.P. 119, Tlemcen 13000, Algeria

Email

-

City

-

Orcid

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Volume

19

Article Issue

1

Related Issue

50532

Issue Date

2011-06-01

Receive Date

2024-10-20

Publish Date

2011-06-01

Page Start

86

Page End

87

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 19_Issue 1_Pages 86-87.pdf

PDF . 316.5kB

Link

https://joems.journals.ekb.eg/article_387183.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387183

Order

387,183

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A note on discontinuous problem with a free boundary

Details

Type

Article

Created At

21 Dec 2024