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. Electronic Journal of Differential Equations, 2018(108), pp. 1-10.
Rights
Attribution 4.0 International