Existence of solutions for semilinear problems on exterior domains

Date

2020-04-15

Authors

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 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).

Description

Keywords

Exterior domain, Superlinear, Radial solution

Citation

Iaia, J. (2020). Existence of solutions for semilinear problems on exterior domains. <i>Electronic Journal of Differential Equations, 2020</i>(34), pp. 1-10.

Rights

Attribution 4.0 International

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