Uniqueness of Positive Radial Solutions for a Class of Semipositone Systems on the Exterior of a Ball

作     者：Alhussein Mohamed Khalid Ahmed Abbakar Abuzar Awad Omer Khalil Bechir Mahamat Acyl Abdoulaye Ali Youssouf Mohammed Mousa Alhussein Mohamed;Khalid Ahmed Abbakar;Abuzar Awad;Omer Khalil;Bechir Mahamat Acyl;Abdoulaye Ali Youssouf;Mohammed Mousa

作者机构：College of Mathematics and Statistics Northwest Normal University Lanzhou China Department of Mathematics and Physics Faculty of Education University of Gadarif Gadarif Sudan Department of Science College of Education Sudan University of Science and Technology Khartoum Sudan 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2021年第12卷第3期

页      面：131-146页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Elliptic System Positive Radial Solution Exterior Domains Fixed Point Index 

摘      要：In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP: , where Δu = div (∇u) and Δv = div (∇v) are the Laplacian of u, λ is a positive parameter, Ω = {x ∈ Rn : N 2, |x| r0, r0 0}, let i = [1,2] then Ki :[r0,∞] → (0,∞) is a continuous function such that limr→∞ ki(r) = 0 and is The external natural derivative, and : [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) fi 0, b) fi fi = 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.