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Existence of a positive solution for a
-Laplacian semipositone problem
Boundary Value Problems volume 2005, Article number: 576572 (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.
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Chhetri, M., Shivaji, R. Existence of a positive solution for a-Laplacian semipositone problem.
Bound Value Probl 2005, 576572 (2005). https://doi.org/10.1155/BVP.2005.323
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DOI: https://doi.org/10.1155/BVP.2005.323