Abstract
In the paper, we study the following semilinear Schrödinger systems with electromagnetic field and critical growth, where
,
,
are real-valued magnetic vector potentials and
.
and
such that
, here
is the critical Sobolev exponent.
are constants such that the operators
and
are positively definite. We prove the existence of least energy solutions which localize near the common potential well
for
large enough.
Notes
The author was supported by Fundamental Research Funds for the Central Universities and NSFC [grant number 11171028].