Abstract
We deal with a class of magnetic pseudo-relativistic Hartree type equation
where
, m>0,
is a continuous vector potential,
is an external continuous scalar potential and
is a convolution kernel,
is a positive constant,
,
. Under the action of some subgroup of linear isometries on potential A and W, and some assumptions on the decay of A and W at infinity, we prove the existence of vortex-type solutions to this problem by using variational methods and asymptotic estimates as p = 2.
Disclosure statement
No potential conflict of interest was reported by the author(s).