2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2023★ 2 cited
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…
math.AP2021
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…
math.AP2018
Logarithmic Bose-Einstein condensates with harmonic potential
Alex H. Ardila, Liliana Cely, Marco Squassina
In this paper, by using a compactness method, we study the Cauchy problem of the logarithmic Schrödinger equation with harmonic potential. We then address the existence of ground s…