Standing wave solutions of the nonlinear Schrödinger equation in R^N

Boyan Sirakov (1)

1 MODAL'X - Modélisation aléatoire de Paris X

We show that the Schrodinger equation with general external force nonlinearity and a potential with some specific geometry has standing wave solutions for sufficiently small values of the parameter $\hbar$

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. Standing wave solutions of the nonlinear Schrödinger equation in R^N. Annali di Matematica Pura ed Aplicata, 2002, 181 (1), pp.73-83. ⟨hal-00004762⟩