Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition

Date

2018-05-08

Authors

Joshi, Janak
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 ∆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).

Description

Keywords

Exterior domain, Superlinear, Radial solution

Citation

Joshi, 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.

Rights

Attribution 4.0 International

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