Stability of the standing waves of the concentrated NLSE in dimension two

In this paper we will continue the analysis of two dimensional Schr?dinger equation with a fixed, pointwise, nonlinearity started in [2, 13]. In this model, the occurrence of a blow-up phenomenon has two peculiar features: the energy threshold under which all solutions blow up is strictly negative a...

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Bibliographic Details
Main Authors: Riccardo Adami, Raffaele Carlone, Michele Correggi, Lorenzo Tentarelli
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:Mathematics in Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mine.2021011?viewType=HTML