Existence and Stability of standing waves for supercritical NLS with a Partial Confinement
Analysis of PDEs
2017-04-26 v2 Mathematical Physics
math.MP
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 -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.
Keywords
Cite
@article{arxiv.1607.00739,
title = {Existence and Stability of standing waves for supercritical NLS with a Partial Confinement},
author = {J. Bellazzini and N. Boussaid and L. Jeanjean and N. Visciglia},
journal= {arXiv preprint arXiv:1607.00739},
year = {2017}
}
Comments
Revised version, accepted on Comm. Math. Physics