Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R n

Opuscula Mathematica

article

Imed Bachar (corresponding author)¹  Habib Mâagli²  Hassan Eltayeb¹ 

[1] King Saud University, College of Science, Mathematics Department;King Abdulaziz University, College of Sciences and Arts, Rabigh Campus, Department of Mathematics

关键词: nonnegative solution;    semipositone;    Kato class;    fixed point theorem.;   

DOI  :  10.7494/OpMath.2022.42.6.793

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC