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

2022/05/22 by Garrisi, Daniele, Gou, Tianxiang
#35J20 (Secondary) #35Q55 (Primary) #47J35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.10703

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.

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