Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities

Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities

In this paper, we are concerned with the existence and multiplicity of solutions for the fractional Choquard‐type Schrödinger‐Kirchhoff equations with electromagnetic fields and critical nonlinearity: ε2sM([u]s,A2)(−Δ)Asu+V(x)u=(|x|−α∗F(|u|2))f(|u|2)u+|u|2s∗−2u,x∈RN,u(x)→0,as|x|→∞, where (−Δ)As is t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical methods in the applied sciences 2020-03, Vol.43 (5), p.2473-2490
Hauptverfasser: Liang, Sihua, Repovš, Dušan D., Zhang, Binlin
Format: Artikel
Sprache:eng
Schlagworte:
Choquard‐type equation
Continuity (mathematics)
Convolution
critical nonlinearity
Electromagnetic fields
Existence theorems
fractional magnetic operator
Mountains
Operators (mathematics)
variational method
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we are concerned with the existence and multiplicity of solutions for the fractional Choquard‐type Schrödinger‐Kirchhoff equations with electromagnetic fields and critical nonlinearity: ε2sM([u]s,A2)(−Δ)Asu+V(x)u=(|x|−α∗F(|u|2))f(|u|2)u+|u|2s∗−2u,x∈RN,u(x)→0,as|x|→∞, where (−Δ)As is the fractional magnetic operator with 0
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6057