Existence of solutions for semilinear problems with prescribed number of zeros on exterior domains

In this article we prove the existence of an infinite number of radial solutions of $\Delta(u)+f(u)=0$ with prescribed number of zeros 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>0 on $(\beta,\infty)$ where...

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Bibliographic Details
Main Authors: Janak Joshi, Joseph Iaia
Format: Article
Language:English
Published: Texas State University 2016-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/112/abstr.html