On a class of quasilinear Schrödinger equations with superlinear terms

On a class of quasilinear Schrödinger equations with superlinear terms

In this paper, we consider a class of quasilinear Schrödinger equations arising from a model of a self-trapped electrons in quadratic or hexagonal lattices. By variational methods, we prove that this problem admits a positive solution for any positive parameter.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 2024-05, Vol.65 (5)
Hauptverfasser: Cheng, Yongkuan, Shen, Yaotian
Format: Artikel
Sprache:eng
Schlagworte:
Schrodinger equation
Variational methods
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we consider a class of quasilinear Schrödinger equations arising from a model of a self-trapped electrons in quadratic or hexagonal lattices. By variational methods, we prove that this problem admits a positive solution for any positive parameter.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0158981