Shaowei Chen
Abstract:
In this article, we study the semilinear Schrodinger equation
where
and
is a small parameter.
The function
is bounded in
,
and it has a possibly degenerate
isolated critical point. Under some conditions on f, we prove
that as
,
this equation has a solution which concentrates
at the critical point of V.
Submitted August 16, 2011. Published May 31, 2012.
Math Subject Classifications: 35J20, 35J70.
Key Words: Semilinear Schrodinger equation; variational reduction method.
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Shaowei Chen School of Mathematical Sciences Capital Normal University Beijing 100048, China email: chensw@amss.ac.cn |
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