Iaia, Joseph2021-09-222021-09-222020-04-15Iaia, J. (2020). Existence of solutions for semilinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2020</i>(34), pp. 1-10.1072-6691https://hdl.handle.net/10877/14538In this article we prove the existence of an infinite number of radial solutions to ∆u + K(r)ƒ(u) = 0 on ℝN such that lim r→∞ u(r) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 where ƒ is odd with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ superlinear for large u, and K(r) ∼ r-α with α > 2 (N - 1).Text10 pages1 file (.pdf)enAttribution 4.0 InternationalExterior domainSuperlinearRadial solutionArticle