Combined Effects in Singular Elliptic Problems in Punctured Domain-Reference-Cited by-同舟云学术

Combined Effects in Singular Elliptic Problems in Punctured Domain

Published:2021-01-29 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Bachar Imed¹^ORCID,Mâagli Habib²³^ORCID,Eltayeb Hassan¹^ORCID

Affiliation:

1. King Saud University, College of Science, Mathematics Department, P.O. Box 2455, Riyadh 11451, Saudi Arabia

2. King Abdulaziz University, College of Sciences and Arts, Rabigh Campus, Department of Mathematics, P. O. Box 344, Rabigh 21911, Saudi Arabia

3. Université de Tunis El Manar, Faculté des Sciences de Tunis, LR10ES09 Modélisation mathématique, analyse harmonique et théorie du potentiel, 2092 Tunis, Tunisia

Abstract

The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we establish the existence of a positive continuous solution for the suggested problem. Global estimates on such solution, which could blow up at the origin, are also obtained.

Funder

Deanship of Scientific Research, King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6630457.pdf

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