Quantitative Rellich inequalities on Finsler-Hadamard manifolds

Kristály, Alexandru (avtor), Repovš, Dušan (avtor)

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.].

• Jezik: Angleški jezik
• Ključne besede: Rellich inequality, Finsler-Hadamard manifold, Finsler-Laplace operato, curvature
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2016
• Št. strani: 17 str.
• Številčenje: art. ID 1650020, no. 6
• PID: 20.500.12556/RUL-111089
• UDK: 514.7
• ISSN pri članku: 0219-1997
• DOI: 10.1142/S0219199716500206
• COBISS.SI-ID: 17651545
• Datum objave v RUL: 23.09.2019

Gradivo je del revije

• Naslov: Communications in contemporary mathematics
• Skrajšan naslov: Commun. Contemp. Math.
• Založnik: World Scientific
• ISSN: 0219-1997
• COBISS.SI-ID: 9454425