Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2 -supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an ap...

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Bibliographic Details
Published in:Nonlinearity 2023-07, Vol.36 (7), p.3776-3795
Main Authors: Borthwick, Jack, Chang, Xiaojun, Jeanjean, Louis, Soave, Nicola
Format: Article
Language:English
Subjects:
35J60
47J30
localized nonlinearity
noncompact metric graphs
nonlinear Schrödinger equation
supercritical
variational methods
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Summary:In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2 -supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/acda76