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Abstract
This paper is concerned with the following nonlinear fractional Schrödinger equation
where is a small parameter,
is a positive function,
and
. Under some suitable conditions, we prove that for any positive integer
, one can construct a
-spike positive solution near the local maximum point of
.
Acknowledgements
The authors sincerely thank Professor Shuangjie Peng for helpful suggestions and discussions.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
Wei Long acknowledges support from the NSF of China and the NSF of Jiangxi Province. Qingfang Wang acknowledges support from the excellent doctorial dissertation cultivation grant from Central China Normal University (2013YBZD16).