Combined Effects in Singular Elliptic Problems in Punctured Domain. (30th January 2021)

• Record Type: Journal Article
• Authors: Bachar, Imed; Mâagli, Habib; Eltayeb, Hassan
• Other Names: Hencl Stanislav Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-01-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6630457
• Languages: English
• ISSNs: 2314-8896

Abstract

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.