We prove the existence and nonexistence of solutions for the semilinear problem ∆u + K(r)f(u) = 0 with various boundary conditions on the exterior of the ball in R^N such that lim r→∞u(r) = 0. Here f : R → R is an odd locally lipschitz non-linear function such that there exists a β > 0 with f < 0 on (0, β), f > 0 on (β, ∞), and K(r) \equiv r^−α for some α > 0.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1248418 |
| Date | 08 1900 |
| Creators | Joshi, Janak R |
| Contributors | Iaia, Joseph, Liu, Jianguo, Jackson, Stephen |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 68 pages, Text |
| Rights | Public, Joshi, Janak R, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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