Improved hardy inequalities on Riemannian manifolds
Mohanta, K., & Tyagi, J. (2023). Improved hardy inequalities on Riemannian manifolds. Complex Variables and Elliptic Equations, Early online. https://doi.org/10.1080/17476933.2023.2247998
Julkaistu sarjassa
Complex Variables and Elliptic EquationsPäivämäärä
2023Tekijänoikeudet
© 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group
We study the following version of Hardy-type inequality on a domain Ω in a Riemannian manifold (M,g):
∫Ω|∇u|pgραdVg≥(|p−1+β|p)p∫Ω|u|p|∇ρ|pg|ρ|pραdVg+∫ΩV|u|pραdVg,∀u∈C∞c(Ω).
We provide sufficient conditions on p,α,β,ρ and V for which the above inequality holds. This generalizes earlier well-known works on Hardy inequalities on Riemannian manifolds. The functional setup covers a wide variety of particular cases, which are discussed briefly: for example, RN with p
Julkaisija
Taylor & FrancisISSN Hae Julkaisufoorumista
1747-6933Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/184294331
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Lisätietoja rahoituksesta
Authors thank IIT Gandhinagar for the financial support under the grant MIS/IITGN/R&D/MA/JT/202122/069.Lisenssi
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2023)We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations ... -
Stable reconstruction of simple Riemannian manifolds from unknown interior sources
de Hoop, Maarten V.; Ilmavirta, Joonas; Lassas, Matti; Saksala, Teemu (IOP Publishing, 2023)Consider the geometric inverse problem: there is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cylinder of the spacetime, can we reconstruct ... -
Translating Solitons Over Cartan–Hadamard Manifolds
Casteras, Jean-Baptiste; Heinonen, Esko; Holopainen, Ilkka; De Lira, Jorge H. (Springer Science and Business Media LLC, 2023)We prove existence results for entire graphical translators of the mean curvature flow (the so-called bowl solitons) on Cartan–Hadamard manifolds. We show that the asymptotic behavior of entire solitons depends heavily on ... -
Pestov identities and X-ray tomography on manifolds of low regularity
Ilmavirta, Joonas; Kykkänen, Antti (American Institute of Mathematical Sciences (AIMS), 2023)We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds (M, g) with g ∈ C1,1. In addition to a proof, we produce a redefinition of simplicity ... -
A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition
Liu, Jiayin; Zhang, Shijin; Zhou, Yuan (Elsevier, 2024)We build up a quantitative second-order Sobolev estimate of lnw for positive p-harmonic functions w in Riemannian manifolds under Ricci curvature bounded from below and also for positive weighted p-harmonic functions w in ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.