Electron. J. Differential Equations,
Vol. 2017 (2017), No. 253, pp. 114.
Existence of solutions for sublinear equations on exterior domains
Joseph A. Iaia
Abstract:
In this article we prove the existence of an infinite number of radial
solutions of
,
one with exactly n zeros for each
nonnegative integer n 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.
Submitted February 12, 2017. Published October 10, 2017.
Math Subject Classifications: 34B40, 35B05
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 762031430, USA
email: iaia@unt.edu

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