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arXiv · 1607.00739

Existence and Stability of standing waves for supercritical NLS with a Partial Confinement

J. Bellazzini·N. Boussaid·L. Jeanjean·N. Visciglia
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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 $L^2$-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.

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J. Bellazzini, N. Boussaid, L. Jeanjean, N. Visciglia. 2016-07-04. Existence and Stability of standing waves for supercritical NLS with a Partial Confinement. https://doi.org/10.1007/s00220-017-2866-1

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