Ghasem A. Afrouzi, Saleh Shakeri
Abstract:
In this work, we study the existence of positive solutions to the
singular problem
where
is positive parameter,
is a bounded domain with smooth boundary,
,
and
is a continuous
function which is asymptotically p-linear at
.
The weight function is continuous satisfies
,
. We prove the existence of a positive solution
for a certain range of
using the method of sub-supersolutions.
Submitted September 17, 2012. Published July 8, 2013.
Math Subject Classifications: 35J55, 35J25.
Key Words: Infinite semipositone problem; indefinite weight; forcing term;
asymptotically linear growth; sub-supersolution method.
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Ghasem Alizadeh Afrouzi Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir | |
Saleh Shakeri Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: s.shakeri@umz.ac.ir |
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