Dhanya Rajendran, Eunkyung Ko, Ratnasingham Shivaji
Abstract:
We show the existence of three solution for the singular
boundary-value problem
where
,
and
is such that
on
for some
and
.
When there exist
two pairs of sub-supersolutions
and
where
with
,
and
are strict sub
and super solutions. The establish the existence of at least three solutions
satisfying
,
and
.
Published March 21, 2016.
Math Subject Classifications: 35J25, 35J55.
Key Words: Three solutions theorem; singular boundary value problems.
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Dhanya Rajendran Departamento de Matemática Universidad de Concepción, Chile email: dhanya.tr@gmail.com | |
Eunkyung Ko PDE and Functional Analysis Research Center Department of Mathematical Sciences Seoul National University Seoul, 151-747, South Korea email: ekko1115@snu.ac.kr | |
Ratnasingham Shivaji Department of Mathematics and Statistics University of North Carolina at Greensboro Greensboro, NC 27412, USA email: shivaji@uncg.edu |
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