Infinitely many normalized solutions of \(L^2\)-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

Infinitely many normalized solutions of \(L^2\)-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an \(L^2\)-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2024-12
Hauptverfasser: Carrillo, Pablo, Galant, Damien, Jeanjean, Louis, Troestler, Christophe
Format: Artikel
Sprache:eng
Schlagworte:
Graphs
Mathematical analysis
Nonlinearity
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an \(L^2\)-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
ISSN:2331-8422