Joseph A. Iaia
In this article we consider the radial solutions of on the exterior of the ball of radius R>0, , centered at the origin in with u=0 on and where N>2, f is odd with f<0 on , f>0 on , with 0<p<1 for large u and with for large r. We prove existence of n solutions - one with exactly n zeros on - if R>0 is sufficiently small. If Rgt;0 is sufficiently large then there are no solutions with .
Submitted May 10, 2018. Published November 6, 2018.
Math Subject Classifications: 34B40, 35B05.
Key Words: Exterior domains; semilinear; sublinear; radial solution.
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| Joseph A. Iaia |
Department of Mathematics
University of North Texas
P.O. Box 311430
Denton, TX 76203-1430, USA
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