29 citations · 61 across the 7 of their papers we have counts for
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Variational and stability properties of coupled NLS equations on the star graph
Liliana Cely, Nataliia Goloshchapova
We consider variational and stability properties of a system of two coupled nonlinear Schrödinger equations on the star graph with the coupling at the vertex of . The fi…
Dynamical and variational properties of the NLS- equation on the star graph
Nataliia Goloshchapova
We study the nonlinear Schrödinger equation with coupling of intensity on the star graph consisting of half-lines. The nonlinearity ha…
Instability of ground states for the NLS equation with potential on the star graph
Alex H. Ardila, Liliana Cely, Nataliia Goloshchapova
We study the nonlinear Schrödinger equation with an arbitrary real potential on a star graph . At the vertex an interaction occurs described by the g…
Blow-up and strong instability of standing waves for the NLS- equation on a star graph
Nataliia Goloshchapova, Masahito Ohta
We study strong instability (by blow-up) of the standing waves for the nonlinear Schrödinger equation with -interaction on a star graph . The key ingredient is a novel variat…