Orbital stability and concentration of standing waves to nonlinear Schrödinger systems with mass critical exponent

Abstract

For a nonlinear Schrödinger system with mass critical exponent, we prove the existence and orbital stability of standing-wave solutions obtained as minimizers of the underlying energy functional restricted to a double mass constraint. In addition, we discuss the concentration of a sequence of minimizers as their masses approach to certain critical masses.

arXiv comment16 pages