We prove the existence and nonexistence of radial solutions of singular semilinear equations Δu + k(x)f(u)=0 with boundary condition on the exterior of the ball with radius R>0 in ℝ^N such that lim r →∞ u(r)=0, where f: ℝ \ {0} →ℝ is an odd and locally Lipschitz continuous nonlinear function such that there exists a β >0 with f <0 on (0, β), f >0 on (β, ∞), and K(r) ~ r^-α for some α >0.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1808398 |
| Date | 05 1900 |
| Creators | Ali, Mageed Hameed |
| Contributors | Iaia, Joseph A., Fishman, Lior, 1964-, Liu, Jianguo |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 62 pages, Text |
| Rights | Public, Ali, Mageed Hameed, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
Page generated in 0.0021 seconds