Existence and Nonexistence for Semilinear Equations on Exterior Domains
Year: 2017
Author: Joseph A. Iaia
Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 4 : pp. 299–316
Abstract
In this paper we prove the existence of an infinite number of radial solutions of Δu+K(r)f(u)=0 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,δ), f≡0 for u>δ, and where the function K(r) is assumed to be positive and K(r)→0 as r→∞. The primitive F(u)=∫u0f(s)ds has a ``hilltop'' at u=δ which allows one to use the shooting method to prove the existence of solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v30.n4.2
Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 4 : pp. 299–316
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Semilinear
Author Details
Joseph A. Iaia Email
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