Ali, MageedIaia, Joseph2021-08-272021-08-272021-08-10Ali, 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. 1-17.1072-6691https://hdl.handle.net/10877/14478In 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|.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalExterior domainSemilinear equationRadial solutionArticle