Joseph A. Iaia
In this article we study radial solutions of on the exterior of the ball of radius R>0, , centered at the origin in with u=0 on where f is odd with f<0 on , f>0 on , with 0<p<1 for large u and for large r. We prove that if N>2 and with then there are no solutions with for sufficiently large R>0. On the other hand, if and k, n are nonnegative integers with then there exist solutions, , with k zeros on and if R>0 is sufficiently small.
Submitted December 29, 2016. Published September 13, 2017.
Math Subject Classifications: December 29, 2016. Published September 13, 2017.
Key Words: Exterior domains; semilinear; sublinear; radial.
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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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