Nonradial normalized solutions for nonlinear scalar field equations

We study the following nonlinear scalar field equation Here , m  >  0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinearity 2019-12, Vol.32 (12), p.4942-4966
Hauptverfasser: Jeanjean, Louis, Lu, Sheng-Sen
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We study the following nonlinear scalar field equation Here , m  >  0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes infinitely many) nonradial solutions when N  =  4 or . In particular, all these solutions are sign-changing.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ab435e