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Variational properties and orbital stability of standing waves for NLS equation on a star graph

Journal of Differential Equations, no. 10 (2014): 3738-3777

Cited: 68|Views23

Abstract

We study standing waves for a nonlinear Schrödinger equation on a star graph G, i.e. N halflines joined at a vertex. At the vertex an interaction occurs described by a boundary condition of delta type with strength α⩽0. The nonlinearity is of focusing power type. The dynamics is given by an equation of the form iddtΨt=HΨt−|Ψt|2μΨt, where ...More

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