Ling Ding, Lin Li, Jing-Ling Zhang
Abstract:
We prove the existence of multiple positive solutions for the
Kirchhoff equation
Here
is an open bounded domain in
(
),
,
is a continuous function which
is asymptotically linear at zero and is asymptotically 3-linear at infinity.
Our main tools are the Ekeland's variational principle and the
mountain pass lemma.
Submitted July 22, 2013. Published January 7, 2014.
Math Subject Classifications: 35J60, 35J40, 35B38.
Key Words: Kirchhoff equation; asymptotically linear; asymptotically 3-linear;
positive solution; mountain pass lemma.
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Ling Ding School of Mathematics and Computer Science Hubei University of Arts and Science Hubei 441053, China email: dingling1975@qq.com | |
Lin Li School of Mathematics and Statistics Southwest University Chongqing 400715, China email:lilin420@gmail.com | |
Jing-Ling Zhang School of Mathematics and Computer Science Hubei University of Arts and Science Hubei 441053, China email: 1293503066@qq.com |
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