On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
This article is devoted to the study of a critical Choquard-Kirchhoff -sub-Laplacian equation on the entire Heisenberg group , where the Kirchhoff function can be zero at zero, i.e., the equation can be degenerate, and involving a nonlinearity, which is critical in the sense of the Hardy-Littlewood-...
Gespeichert in:
Veröffentlicht in: | Analysis and Geometry in Metric Spaces 2024-08, Vol.12 (1), p.135-159 |
---|---|
Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | This article is devoted to the study of a critical Choquard-Kirchhoff
-sub-Laplacian equation on the entire Heisenberg group
, where the Kirchhoff function
can be zero at zero, i.e., the equation can be degenerate, and involving a nonlinearity, which is critical in the sense of the Hardy-Littlewood-Sobolev inequality. We first establish the concentration-compactness principle for the
-sub-Laplacian Choquard equation on the Heisenberg group, and we then prove existence results. |
---|---|
ISSN: | 2299-3274 |
DOI: | 10.1515/agms-2024-0006 |