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- W4290666000 abstract "We show that symmetric and positive profiles of ground-state standing-wave of the non-linear Schrodinger 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." @default.
- W4290666000 created "2022-08-08" @default.
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- W4290666000 date "2017-09-02" @default.
- W4290666000 modified "2023-09-29" @default.
- W4290666000 title "Uniqueness of standing-waves for a non-linear Schrodinger equation with three pure-power combinations in dimension one" @default.
- W4290666000 doi "https://doi.org/10.48550/arxiv.1709.00586" @default.
- W4290666000 hasPublicationYear "2017" @default.
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