Pierpaolo Omari & Fabio Zanolin
Abstract:
We show that for each
,
the problem
in
,
on
has a sequence of positive solutions
with
decreasing to zero. We assume that
and that
,
where
.
We stress that no condition on the sign of
is imposed.
Published October 13, 2000.
Math Subject Classifications: 35J65, 34B15, 34C25, 47H15.
Key Words: Quasilinear elliptic equation, positive solution,
upper and lower solutions, time-mapping estimates.
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Fabio Zanolin
Dipartimento di Matematica e Informatica
Universita, Via delle Scienze 206
I--33100 Udine, Italy
e-mail: zanolin@dimi.uniud.it