Existence and nonexistence of radial solutions for semilinear equations with bounded nonlinearities on exterior domains

In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in ${\mathbb R}^N$ where f is odd with f<0 on $(0, \beta)$, f>$ on $(\beta, \delta)$, $f\equiv 0$ for $u> \delta$, and where the function...

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Bibliographic Details
Main Author: Joseph Iaia
Format: Article
Language:English
Published: Texas State University 2020-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/117/abstr.html