Jin Deng, Aliang Xia, Jianfu Yang
Abstract:
We consider the existence of rotating solitary waves (vortices) for a coupled
Schrodinger equations by finding solutions to the singular system
where
are positive parameters,
.
We show that this system has a positive least energy solution for the cases
When either
is negative or
is positive and small or large.
Moreover, if
, then the solution is unique.
We also study the limiting behavior of the least energy solutions in the
repulsive case for
,
and phase separation.
Submitted March 5, 2020. Published October 30, 2020.
Math Subject Classifications: 35J20, 35B08, 35B40.
Key Words: Schodinger equation; singular potential; Nehari manifold.
DOI: 10.58997/ejde.2020.108
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Jin Deng School of Mathematics and Statistics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: Dengjin@jxnu.edu.cn | |
Aliang Xia School of Mathematics and Statistics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: aliang_xia@jxnu.edu.cn | |
Jianfu Yang School of Mathematics and Statistics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: jfyang_2000@yahoo.com |
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