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 where f is odd with f<0 on , f>0 on , for , and where the function K(r) is assumed to be positive and as . The primitive has a "hilltop" at . We prove that if with and if R>0 is sufficiently small then there are a finite number of solutions of on the exterior of the ball of radius R such that as . We also prove the nonexistence of solutions if R is sufficiently large.
Submitted July 20, 2016. Published August 22, 2016.
Math Subject Classifications: 34B40, 35B05.
Key Words: Exterior domains; semilinear; superlinear; 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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