Combined Effects in Singular Elliptic Problems in Punctured Domain | Zendy

Imed Bachar | Zendy; Habib Mâagli | Zendy; Hassan Eltayeb | Zendy

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Combined Effects in Singular Elliptic Problems in Punctured Domain

Author(s) -

Imed Bachar,

Habib Mâagli,

Hassan Eltayeb

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/6630457

Subject(s) - mathematics , bounded function , domain (mathematical analysis) , boundary value problem , mathematical analysis , fixed point theorem , nonlinear system , schauder fixed point theorem , elliptic curve , singular solution , zero (linguistics) , picard–lindelöf theorem , physics , linguistics , philosophy , quantum mechanics

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.

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