Existence and nonexistence for singular sublinear problems on exterior domains
Files
Date
2021-01-07
Authors
Ali, Mageed
Iaia, Joseph
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study the existence of radial solutions of Δu + K (|x|)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝN with u = 0 on ∂BR, and lim|x|→∞ u(x) = 0 where N > 2, ƒ(u) ~ -1/|u|q-1u for u near 0 with 0 < q < 1, and ƒ(u) ~ |u|p-1u for large |u| with 0 < p < 1. Also, K (|x|) ~ |x|-α with N + q(N - 2) < α < 2(N - 1) for large |x|.
Description
Keywords
Exterior domains, Singular problems, Sublinear, Radial solution
Citation
Ali, M., & Iaia, J. A. (2021). Existence and nonexistence for singular sublinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2021</i>(03), pp. 1-17.
Rights
Attribution 4.0 International