Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains
Description:
This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date:
August 22, 2016
Creator:
Iaia, Joseph A.
Partner:
UNT College of Arts and Sciences