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  • Quantitative Rellich inequalities on Finsler-Hadamard manifolds
    Kristály, Alexandru ; Repovš, Dušan, 1954-
    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.].
    Vir: Communications in contemporary mathematics. - ISSN 0219-1997 (Vol. 18, no. 6, 2016, art. ID 1650020 (17 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17651545

    Povezava(-e):

    http://dx.doi.org/10.1142/S0219199716500206
    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Communications in contemporary mathematics. - ISSN 0219-1997 (Vol. 18, no. 6, 2016, art. ID 1650020 (17 str.))
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