20.500.12556/RUL-111089 Quantitative Rellich inequalities on Finsler-Hadamard manifolds 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.]. Rellich inequality Finsler-Hadamard manifold Finsler-Laplace operato curvature true false true Angleški jezik Ni določen Članek v reviji 2019-09-23 13:19:55 2019-09-23 13:19:56 2022-08-23 03:40:43 0000-00-00 00:00:00 2016 0 0 17 str. no. 6 art. ID 1650020 2016 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514.7 0219-1997 10.1142/S0219199716500206 17651545 9454425 RAZ_Kristaly_Alexandru_i2016.pdf RAZ_Kristaly_Alexandru_i2016.pdf 1 D06AF3D613414A44C654D86910473F01 fe7ab2f5d1801aabbb8108a56e292cbe0a4728ddc7c28cff11a2b160bca15e0a 4cff77fb-a1b7-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=122885 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0