Research Article
Open Access
Existence of a positive solution for a
-Laplacian semipositone problem
- Maya Chhetri1Email author and
- R Shivaji2
Boundary Value Problems20052005:576572
https://doi.org/10.1155/BVP.2005.323
© Chhetri and Shivaji 2005
Received: 30 September 2004
Published: 13 November 2005
Abstract
We consider the boundary value problem
in
satisfying
on
, where
on
,
is a parameter,
is a bounded domain in
with
boundary
, and
for
. Here,
is a
nondecreasing function for some
satisfying
(semipositone). We establish a range of
for which the above problem has a positive solution when
satisfies certain additional conditions. We employ the method of subsuper solutions to obtain the result.
Authors’ Affiliations
(1)
Department of Mathematical Sciences, University of North Carolina at Greensboro
(2)
Department of Mathematics and Statistics, Mississippi State University
Copyright
© Chhetri and Shivaji 2005
