Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schr\"odinger systems

Abstract

We study the spectral structure of the complex linearized operator for a class of nonlinear Schr\"odinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.Comment: 18 pages, 1 figur