Infinitely many solutions for a singular semilinear problem on exterior domains

Date

2021-08-10

Authors

Ali, Mageed
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 ΔU + K(x)ƒ(U) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝN with U = 0 on ∂BR, and lim|x|→∞ U(x) = 0 where N > 2, ƒ(U) ~ -1/|U|q-1U for small U ≠ 0 with 0 < q < 1, and ƒ(U) ~ |U|p-1U for large |U| with p > 1. Also, K(x) ~ |x|-α with α > 2(N - 1) for large |x|.

Description

Keywords

Exterior domain, Semilinear equation, Radial solution

Citation

Ali, M., & Iaia, J. A. (2021). Infinitely many solutions for a singular semilinear problem on exterior domains. <i>Electronic Journal of Differential Equations, 2021</i>(68), pp. 1-17.

Rights

Attribution 4.0 International

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