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188741

On Variational Inequalities and their Application to the Obstacle Problem.

Article

Last updated: 04 Jan 2025

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Subjects

-

Tags

Mathematics and Engineering Physics

Abstract

In this paper some existence results for the solution to the so called variational inequalities in real Banach space are established. Application of the established results to the obstacle problem, the prototype of many other moving and free boundary problems, is studied. We first investigate the case of an elastic string, then we extend our study in a natural way to the case of an elastic membrane stretched over a smooth obstacle.

DOI

10.21608/bfemu.2021.188741

Authors

First Name

M.

Last Name

Amer

MiddleName

A.

Affiliation

Mathematical and Physical Science Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Email

-

City

Mansoura

Orcid

-

Volume

17

Article Issue

4

Related Issue

24373

Issue Date

1992-12-01

Receive Date

1992-10-10

Publish Date

2021-12-01

Page Start

21

Page End

29

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 17_Issue 4_Pages 21-29.pdf

PDF . 74.6kB

Link

https://bfemu.journals.ekb.eg/article_188741.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=188741

Order

9

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

On Variational Inequalities and their Application to the Obstacle Problem.

Details

Type

Article

Created At

22 Jan 2023