Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces

Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces

In this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space , with nonnegative weighted Ricci curvature for some , which is uniformly bounded from above, and successfully obtain several universal inequalities of this eigenvalue problem.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2021-10, Vol.19 (1), p.1110-1119
Hauptverfasser: Hou, Lanbao, Du, Feng, Mao, Jing, Wu, Chuanxi
Format: Artikel
Sprache:eng
Schlagworte:
35P15
53C20
53C42
Eigenvalues
Inequalities
poly-drifting Laplacian
smooth metric measure space
universal inequalities
weighted Ricci curvature
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we study the eigenvalue problem of poly-drifting Laplacian on complete smooth metric measure space , with nonnegative weighted Ricci curvature for some , which is uniformly bounded from above, and successfully obtain several universal inequalities of this eigenvalue problem.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0100