Constrained energy minimization and orbital stability for the NLS equation on a star graph

On a star graph \mathcal{G} , we consider a nonlinear Schrödinger equation with focusing nonlinearity of power type and an attractive Dirac's delta potential located at the vertex. The equation can be formally written as i\partial _{t}\Psi (t) = −\mathrm{\Delta }\Psi (t)−|\Psi (t)|^{2\mu }\Psi (t) +... View More