Yuanze Wu, Yisheng Huang, Zeng Liu
Abstract:
In this article, we study the Kirchhoff type problem
where
,
and
are two positive parameters,
is a (possibly negative) constant and
is
the potential well. Using the variational method, we show the existence
of nontrivial solutions. We also obtain the concentration behavior
of the solutions as
.
Submitted February 19, 2016. Published July 6, 2016.
Math Subject Classifications: 35B38, 35B40, 35J10, 35J20.
Key Words: Kirchhoff type problem; indefinite potential; potential well;
variational method.
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Yuanze Wu College of Sciences China University of Mining and Technology Xuzhou 221116, China email: wuyz850306@cumt.edu.cn | |
Yisheng Huang Department of Mathematics Soochow University, Suzhou 215006, China email: yishengh@suda.edu.cn | |
Zeng Liu Department of Mathematics Suzhou University of Science and Technology Suzhou 215009, China email: luckliuz@163.com |
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