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Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains
This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Date:
May 3, 2016
Creator:
Joshi, Janak & Iaia, Joseph A.
System:
The UNT Digital Library