We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlinearities which are L2-supercritical; in particular, we cover the physically relevant cubic case. The equation that we consider is the limit case of the cigar-shaped model in BEC.

Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement

BELLAZZINI, JACOPO;VISCIGLIA, NICOLA
2017-01-01

Abstract

We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlinearities which are L2-supercritical; in particular, we cover the physically relevant cubic case. The equation that we consider is the limit case of the cigar-shaped model in BEC.
2017
Bellazzini, Jacopo; Boussaid, Nabile; Jeanjean, Louis; Visciglia, Nicola
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/903675
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