Bulter, D., Ko, E., Lee, E. and Shivaji, R. (2014) Positive Radial Solutions for Elliptic Equations on Exterior Domains with Nonlinear Boundary Conditions. Communications on Pure and Applied Analysis, 13, 2713-2731.
https://doi.org/10.3934/cpaa.2014.13.2713

has been cited by the following article:

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

  AUTHORS: Alhussein Mohamed, Khalid Ahmed Abbakar, Abuzar Awad, Omer Khalil, Bechir Mahamat Acyl, Abdoulaye Ali Youssouf, Mohammed Mousa

  KEYWORDS: Elliptic System, Positive Radial Solution, Exterior Domains, Fixed Point Index

  JOURNAL NAME: Applied Mathematics, Vol.12 No.3, March 12, 2021

  ABSTRACT: 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, λis 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) fifi= 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.