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 $V(x)\in (L^1+L^{\infty })(\Gamma )$ on a star graph $\Gamma$. At the vertex an interaction occurs described by the g…