Some inequalities of Hardy type related to Witten–Laplace operator on smooth metric measure spaces
Y Li, A Abolarinwa, AH Alkhaldi, A Ali - Mathematics, 2022 - mdpi.com
A complete Riemannian manifold equipped with some potential function and an invariant
conformal measure is referred to as a complete smooth metric measure space. This paper …
conformal measure is referred to as a complete smooth metric measure space. This paper …
[图书][B] Functional Inequalities: New Perspectives and New Applications: New Perspectives and New Applications
N Ghoussoub, A Moradifam - 2013 - books.google.com
" The book describes how functional inequalities are often manifestations of natural
mathematical structures and physical phenomena, and how a few general principles …
mathematical structures and physical phenomena, and how a few general principles …
[HTML][HTML] Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon
For a general subcritical second-order elliptic operator P in a domain Ω⊂ R n (or
noncompact manifold), we construct Hardy-weight W which is optimal in the following sense …
noncompact manifold), we construct Hardy-weight W which is optimal in the following sense …
[HTML][HTML] Hardy inequalities on Riemannian manifolds and applications
L D'Ambrosio, S Dipierro - Annales de l'Institut Henri Poincare (C) Non …, 2014 - Elsevier
We prove a simple sufficient criterion to obtain some Hardy inequalities on Riemannian
manifolds related to quasilinear second order differential operator Δ pu:= div (|∇ u| p− 2∇ …
manifolds related to quasilinear second order differential operator Δ pu:= div (|∇ u| p− 2∇ …
Hardy-Poincaré, Rellich and uncertainty principle inequalities on Riemannian manifolds
We continue our previous study of improved Hardy, Rellich and uncertainty principle
inequalities on a Riemannian manifold $ M $, started in our earlier paper from 2009. In the …
inequalities on a Riemannian manifold $ M $, started in our earlier paper from 2009. In the …
[HTML][HTML] Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space
We study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian−
Δ HN−(N− 1) 2/4 on the hyperbolic space HN,(N− 1) 2/4 being, as it is well-known, the …
Δ HN−(N− 1) 2/4 on the hyperbolic space HN,(N− 1) 2/4 being, as it is well-known, the …
Improved Hardy and Hardy–Rellich type inequalities with Bessel pairs via factorizations
Factorizations and Hardy and Hardy–Rellich inequalities Page 1 J. Spectr. Theory 10 (2020),
1277–1302 DOI 10.4171/JST/327 Journal of Spectral Theory © European Mathematical …
1277–1302 DOI 10.4171/JST/327 Journal of Spectral Theory © European Mathematical …
Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds
We establish sharpened forms of the Hardy type identities and inequalities which are
substantial improvements of Hardy inequalities for the operators− Δ H−(N− 1) 2 4 on the …
substantial improvements of Hardy inequalities for the operators− Δ H−(N− 1) 2 4 on the …
Hardy inequalities on Riemannian manifolds with negative curvature
Q Yang, D Su, Y Kong - Communications in Contemporary …, 2014 - World Scientific
Let M be a complete, simply connected Riemannian manifold with negative curvature. We
obtain the sharp constants of Hardy and Rellich inequalities related to the geodesic distance …
obtain the sharp constants of Hardy and Rellich inequalities related to the geodesic distance …
Sharp Hardy and Rellich type inequalities on Cartan--Hadamard manifolds and their improvements
VH Nguyen - arXiv preprint arXiv:1708.09306, 2017 - arxiv.org
In this paper, we prove several new Hardy type inequalities (such as the weighted Hardy
inequality, weighted Rellich inequality, critical Hardy inequality and critical Rellich …
inequality, weighted Rellich inequality, critical Hardy inequality and critical Rellich …