@Article{Bachar2022, author = "Bachar, Imed and Mâagli, Habib and Eltayeb, Hassan", title = "Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of Rn", journal = "Opuscula Math.", year = "2022", volume = "42", number = "6", pages = "793--803", doi = "https://doi.org/10.7494/OpMath.2022.42.6.793", url = "https://doi.org/10.7494/OpMath.2022.42.6.793", abstract = "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.", keywords = "nonnegative solution, semipositone, Kato class, fixed point theorem", issn = "1232-9274" }