@inproceedings{8cc9f975cd874d83bbe2de29bf8ec2be,

title = "Uniqueness of standing-waves for a non-linear schr{\"o}dinger equation with three pure-power combinations in dimension one",

abstract = "We show that symmetric and positive profiles of ground-state standing-wave of the non-linear Schr{\"o}dinger equation are non-degenerate and unique up to a translation of the argument and multiplication by complex numbers in the unit sphere. The non-linear term is a combination of two or three pure-powers. The class of non-linearities satisfying the mentioned properties can be extended beyond two or three power combinations. Specifically, it is sufficient that an Euler differential inequality is satisfied and that a certain auxiliary function is such that the first local maximum is also an absolute maximum.",

author = "Daniele Garrisi and Vladimir Georgiev",

note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.; AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and PDE Analysis on Fluid Flows, 2017 ; Conference date: 05-01-2017 Through 07-01-2017",

year = "2019",

doi = "10.1090/conm/725/14555",

language = "English",

isbn = "9781470441098",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "137--148",

editor = "Shijun Zheng and Jerry Bona and Geng Chen and {Van Phan}, Tuoc and Marius Beceanu and Avy Soffer",

booktitle = "Nonlinear Dispersive Waves and Fluids",

address = "United States",

}