Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (3)

Search Parameters:
Keywords = Rellich inequality

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
12 pages, 274 KiB  
Article
Weighted Hardy–Rellich Inequality for Dunkl Operators
by Jielin Lyu, Yongyang Jin, Shoufeng Shen and Li Tang
Mathematics 2023, 11(6), 1487; https://doi.org/10.3390/math11061487 - 18 Mar 2023
Viewed by 1442
Abstract
In this paper, we proved a weighted Hardy–Rellich inequality for Dunkl operators based on the spherical h-harmonic decomposition theory of Dunkl operators. Moreover, we obtained the explicit constant of the inequalities, which is optimal in some cases. Our results extend some known inequalities. [...] Read more.
In this paper, we proved a weighted Hardy–Rellich inequality for Dunkl operators based on the spherical h-harmonic decomposition theory of Dunkl operators. Moreover, we obtained the explicit constant of the inequalities, which is optimal in some cases. Our results extend some known inequalities. Full article
13 pages, 318 KiB  
Article
Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces
by Yanlin Li, Abimbola Abolarinwa, Ali H. Alkhaldi and Akram Ali
Mathematics 2022, 10(23), 4580; https://doi.org/10.3390/math10234580 - 2 Dec 2022
Cited by 36 | Viewed by 2258
Abstract
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 generalizes some integral inequalities of the Hardy type to the setting of a complete non-compact smooth metric [...] Read more.
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 generalizes some integral inequalities of the Hardy type to the setting of a complete non-compact smooth metric measure space without any geometric constraint on the potential function. The adopted approach highlights some criteria for a smooth metric measure space to admit Hardy inequalities related to Witten and Witten p-Laplace operators. The results in this paper complement in several aspect to those obtained recently in the non-compact setting. Full article
(This article belongs to the Special Issue Geometry of Manifolds and Applications)
6 pages, 229 KiB  
Article
A Sharp Rellich Inequality on the Sphere
by Songting Yin
Mathematics 2018, 6(12), 288; https://doi.org/10.3390/math6120288 - 27 Nov 2018
Viewed by 1985
Abstract
We obtain a Rellich type inequality on the sphere and give the corresponding best constant. The result complements some related inequalities in recent literatures. Full article
Back to TopTop