TY  - JOUR
ID  - Bachar2022
LB  - Bachar2022
AU  - Bachar, Imed
AU  - Mâagli, Habib
AU  - Eltayeb, Hassan
TI  - Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R<sup>n</sup>
ST  - Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R<sup>n</sup>
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 6
SP  - 793
EP  - 803
DO  - https://doi.org/10.7494/OpMath.2022.42.6.793
UR  - https://doi.org/10.7494/OpMath.2022.42.6.793
AB  - 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 \(\mathbb{R}^n\) (\(n\geq 2\)). The global behavior of this solution is also given.
KW  - nonnegative solution
KW  - semipositone
KW  - Kato class
KW  - fixed point theorem
SN  - 1232-9274
ER  -