We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.
Montefusco, E., Pellacci, B., Squassina, M., Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems, <<COMMUNICATIONS ON PURE AND APPLIED ANALYSIS>>, 2010; 9 (N/A): 867-887. [doi:10.3934/cpaa.2010.9.867] [http://hdl.handle.net/10807/90080]
Energy convexity estimates for non degenerate ground states of nonlinear 1D Schrodinger systems
Squassina, MarcoUltimo
2010
Abstract
We study the spectral structure of the complex linearized operator for a class of nonlinear Schrodinger systems, obtaining as byproduct some interesting properties of non-degenerate ground state of the associated elliptic system, such as being isolated and orbitally stable.
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