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

被引：91

作者：

Bellazzini, Jacopo ^{[1
]}

Boussaid, Nabile ^{[2
]}

Jeanjean, Louis ^{[2
]}

Visciglia, Nicola ^{[3
]}

机构：

[1] Univ Sassari, Via Piandanna 4, I-07100 Sassari, Italy

[2] Univ Bourgogne Franche Comte, Lab Math UMR 6623, 16 Route Gray, F-25030 Besancon, France

[3] Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2017年 / 353卷 / 01期

关键词：

NONLINEAR SCHRODINGER-EQUATION; GROSS-PITAEVSKII EQUATION; GROUND-STATES; ORBITAL STABILITY; PRESCRIBED NORM; RADIAL SYMMETRY; INSTABILITY; SYMMETRIZATION; DERIVATION;

D O I：

10.1007/s00220-017-2866-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：229 / 251

页数：23

共 40 条

[1] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].