Joshi, JanakIaia, Joseph2022-02-022022-02-022018-05-08Joshi, J., & Iaia, J. A. (2018). Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition. <i>Electronic Journal of Differential Equations, 2018</i>(108), pp. 1-10.1072-6691https://hdl.handle.net/10877/15275In this article we prove the existence of an infinite number of radial solutions to ∆u + K(r)ƒ(u) = 0 with a nonlinear boundary condition on the exterior of the ball of radius R centered at the origin in ℝN such that lim r→∞ u(r) = 0 with any given number of zeros where ƒ : ℝ → ℝ is odd and there exists a β > 0 with ƒ < 0 on (0, β), ƒ > 0 on (β, ∞) with ƒ superlinear for large u, and K(r) ~ r-α with 0 < α < 2(N - 1).Text10 pages1 file (.pdf)enAttribution 4.0 InternationalExterior domainSuperlinearRadial solutionArticle