Ghasem A. Afrouzi, Nguyen Thanh Chung,Saleh Shakeri
Abstract:
In this article, we are interested in the existence of positive
solutions for the Kirchhoff type problems
where
,
is a continuous and increasing
function,
is a parameter,
is a
nondecreasing function satisfying
(semipositone).
Our proof is based on the sub- and super-solutions techniques.
Submitted April 23, 2013. Published August 07, 2013.
Math Subject Classifications: 35D05, 35J60.
Key Words: Kirchhoff type problems; semipositone; positive solution;
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 |
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Nguyen Thanh Chung Dept. Science Management and International Cooperation Quang Binh University, 312 Ly Thuong Kiet Dong Hoi, Quang Binh, Vietnam email: ntchung82@yahoo.com |
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Saleh Shakeri Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: s.shakeri@umz.ac.ir |
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