Existence and Nonexistence of Solutions for Sublinear 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, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞),
f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.
Date:
September 13, 2017
Creator:
Iaia, Joseph A.
Partner:
UNT College of Science