Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Bellazzini J, Boussaid N, Jeanjean L, Visciglia N |
| Journal | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
| Volume | 353 |
| Pagination | 229-251 |
| Date Published | JUL |
| Type of Article | Article |
| ISSN | 0010-3616 |
| Résumé | 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 L (2)-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. |
| DOI | 10.1007/s00220-017-2866-1 |