ABSTRACT
In this paper, we consider the existence of solutions to a quadratically coupled Schrödinger systems under the condition
Here N=1, 2,
and a, b>0 are fixed. In the systems,
and
are unknown. We prove that there exists a solution
to the systems with
,
, and
being positive, radially symmetric, and decreasing with
. Our argument is heavily based on the rearrangement techniques.
Disclosure statement
No potential conflict of interest was reported by the authors.