Electron. J. Differential Equations,
Vol. 2018 (2018), No. 181, pp. 114.
Existence of solutions for sublinear equations on exterior domains
Joseph A. Iaia
Abstract:
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 762031430, USA
email: iaia@unt.edu

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