Abstract
AbstractWe study the existence of standing waves for the following weakly coupled system of two Schrödinger equations "Equation missing"where $$V_1$$
V
1
and $$V_2$$
V
2
are radial potentials bounded from below. We address the case "Equation missing", $$m_2$$
m
2
constant, and prove the existence of a standing wave solution with both nontrivial components satisfying a prescribed asymptotic profile. In particular, the second component of such solution exhibits a concentrating behavior, while the first one keeps a quantum nature.
Publisher
Springer Science and Business Media LLC