Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Lu, Zhiqin"'
Autor:
Charalambous, Nelia, Lu, Zhiqin
In this article, we find sufficient conditions on an open Riemannian manifold so that a Weyl criterion holds for the $L^p$-spectrum of the Laplacian on $k$-forms, and also prove the decomposition of the $L^p$-spectrum depending on the order of the fo
Externí odkaz:
http://arxiv.org/abs/2401.02136
Autor:
Lu, Zhiqin, Seyyedali, Reza
In their seminal work (\cite{CC}, \cite{CC2}), Chen and Cheng proved apriori estimates for the constant scalar curvature metrics on compact K\"ahler manifolds. They also prove $C^{3,\alpha}$-estimate for the potential of the K\"ahler metrics under bo
Externí odkaz:
http://arxiv.org/abs/2311.00795
Autor:
Lu Zhiqin, Seyyedali Reza
Publikováno v:
Complex Manifolds, Vol 11, Iss 1, Pp 63-95 (2024)
In their seminal work, Chen and Cheng proved a priori estimates for the constant scalar curvature metrics on compact Kähler manifolds. They also prove C3,α{C}^{3,\alpha }-estimate for the potential of the Kähler metrics under boundedness assumptio
Externí odkaz:
https://doaj.org/article/a37691e3ce0045728c28bb14397211bd
Autor:
Charalambous, Nelia, Lu, Zhiqin
In this short exposition we provide a simplified proof of Buser's result for Cheeger's isoperimetric constant.
Comment: Includes some clarifications and additional references in comparison to the previous version
Comment: Includes some clarifications and additional references in comparison to the previous version
Externí odkaz:
http://arxiv.org/abs/2206.00476
Autor:
Charalambous, Nelia, Lu, Zhiqin
In this article we prove that, over complete manifolds of dimension $n$ with vanishing curvature at infinity, the essential spectrum of the Hodge Laplacian on differential $k$-forms is a connected interval for $0\leq k\leq n$. The main idea is to sho
Externí odkaz:
http://arxiv.org/abs/2106.01992
In order to study the Yamabe changing-sign problem, Bahri and Xu proposed a conjecture which is a universal inequality for $p$ points in $\mathbb R^m$. They have verified the conjecture for $p\leq3$. In this paper, we first simplify this conjecture b
Externí odkaz:
http://arxiv.org/abs/2101.10023
Publikováno v:
In: Escher J., Schrohe E., Seiler J., Walker C. (eds) Elliptic and Parabolic Equations. Springer Proceedings in Mathematics & Statistics, vol 119. Springer, Cham. (2015) 45-61
We demonstrate lower bounds for the eigenvalues of compact Bakry-Emery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalised maximum principle which allows gradient estimates in the Riemannian setting to
Externí odkaz:
http://arxiv.org/abs/2012.06489
Autor:
Lu, Zhiqin, Rowlett, Julie
Publikováno v:
Bull. London Math. Soc., 48, no. 1, (2016), 85-93
We prove that the presence or absence of corners is spectrally determined in the following sense: any simply connected domain with piecewise smooth Lipschitz boundary cannot be isospectral to any connected domain, of any genus, which has smooth bound
Externí odkaz:
http://arxiv.org/abs/2012.06465
Autor:
Lu, Zhiqin, Rowlett, Julie
Publikováno v:
The American Mathematical Monthly, 122:9, (2015), 815-835
This note begins with an introduction to the inverse isospectral problem popularized by M. Kac's 1966 article in the American Mathematical Monthly, "Can one hear the shape of a drum?" Although the answer has been known for some twenty years now, many
Externí odkaz:
http://arxiv.org/abs/2012.05851
Autor:
Lu, Zhiqin, Yi, Yali, Wang, Linxiao, Luo, Yuxi, Luo, Daya, Xiong, Le, Shu, Yun, Luo, Hui, Li, Jing, Zhu, Wufu, Zeng, Zhimin, Liu, Anwen
Publikováno v:
In Translational Oncology January 2024 39