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- W3205946384 abstract "In this article, we study the multiplicity, asymptotics and stability of standing waves with prescribed mass c > 0 for nonlinear Schrödinger equation with rotation in the mass-supercritical regime arising in Bose-Einstein condensation. Under suitable restriction on the rotation frequency, by searching critical points of the corresponding energy functional on the mass-sphere, we obtain a local minimizer u c and a mountain pass solution u ˆ c . Furthermore, we show that u c is a ground state for small mass c > 0 and describe a mass collapse behavior of the minimizers as c → 0 , while u ˆ c is an excited state. Finally, we prove that the standing wave associated with u c is stable. Notice that the pioneering works [2] , [8] imply that finite time blow-up of solutions to this model occurred in the mass-supercritical setting, therefore, we in the present paper obtain a new stability result. The main contribution of this paper is to extend the main results in [4] , [17] concerning the same model from mass-subcritical and mass-critical regimes to mass-supercritical regime, where the physically most relevant case is covered." @default.
- W3205946384 created "2021-10-25" @default.
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- W3205946384 date "2021-12-01" @default.
- W3205946384 modified "2023-09-26" @default.
- W3205946384 title "Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation" @default.
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- W3205946384 doi "https://doi.org/10.1016/j.jde.2021.10.003" @default.
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