Infinitely many solutions for a singular semilinear problem on exterior domains
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Date
2021-08-10
Authors
Ali, Mageed
Iaia, Joseph
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we prove the existence of an infinite number of radial solutions to 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 small U ≠ 0 with 0 < q < 1, and ƒ(U) ~ |U|p-1U for large |U| with p > 1. Also, K(x) ~ |x|-α with α > 2(N - 1) for large |x|.
Description
Keywords
Exterior domain, Semilinear equation, Radial solution
Citation
Ali, M., & Iaia, J. A. (2021). Infinitely many solutions for a singular semilinear problem on exterior domains. <i>Electronic Journal of Differential Equations, 2021</i>(68), pp. 1-17.
Rights
Attribution 4.0 International