Quantitative Rellich inequalities on Finsler-Hadamard manifolds

Alexandru Kristály (Author), Dušan Repovš (Author)

Abstract

In this paper, we are dealing with quantitative Rellich inequalities on Finsler%Hadamard manifolds where the remainder terms are expressed by means of the flag curvature. By exploring various arguments from Finsler geometry and PDEs on manifolds, we show that more weighty curvature implies more powerful improvements in Rellich inequalities. The sharpness of the involved constants is also studied. Our results complement those of Yang, Su and Kong [Hardy inequalities on Riemannian manifolds with negative curvature, Commun. Contemp. Math. 16 (2014), Article ID: 1350043, 24 pp.].

Keywords

Rellich inequality;Finsler-Hadamard manifold;Finsler-Laplace operato;curvature;

Data

Language:	English
Year of publishing:	2016
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	514.7
COBISS:	17651545
ISSN:	0219-1997
Views:	448
Downloads:	329
Average score:	0 (0 votes)
Metadata:

Other data

Type (COBISS):	Article
Pages:	art. ID 1650020 (17 str.)
Volume:	ǂVol. ǂ18
Issue:	ǂno. ǂ6
Chronology:	2016
DOI:	10.1142/S0219199716500206
ID:	11231237