Orbital stability and concentration of standing waves to nonlinear Schrödinger systems with mass critical exponent (2205.10703v3)

Published 22 May 2022 in math.AP

Abstract: For a nonlinear Schr\"odinger 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.

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