NONNEGATIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NONLINEAR ELLIPTIC EQUATIONS IN BOUNDED DOMAINS OF R-n

Imed Bachar; Habib Maagli; Hassan Eltayeb

doi:10.7494/OpMath.2022.42.6.793

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NONNEGATIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NONLINEAR ELLIPTIC EQUATIONS IN BOUNDED DOMAINS OF R-n

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NONNEGATIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NONLINEAR ELLIPTIC EQUATIONS IN BOUNDED DOMAINS OF R-n

Imed Bachar, Habib Maagli and Hassan Eltayeb

Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.42(6), pp.793-803

01/01/2022

DOI: https://doi.org/10.7494/OpMath.2022.42.6.793

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

In this paper, we obtain sufficient conditions for the existence of a unique nonnegative continuous solution of semipositone semilinear elliptic problem in bounded domains of Rn ( n >= 2). The global behavior of this solution is also given.

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Title: NONNEGATIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NONLINEAR ELLIPTIC EQUATIONS IN BOUNDED DOMAINS OF R-n
Creators - without role: Imed Bachar - King Saud University
Habib Maagli - King Abdulaziz University
Hassan Eltayeb - King Saud University
Publication Details: Rocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica, Vol.42(6), pp.793-803
Publisher: Agh Univ Science & Technology Press
Number of pages: 11
Grant note: RG-1435-043 / Deanship of Scientific Research at King Saud University; King Saud University
Identifiers: 9936934908331
Academic Unit: King Abdulaziz University; King Saud University
Language: English
Resource Type: Journal article