Results 61 to 70 of about 2,489 (256)

Two consequences of Davies\u27 Hardy inequality

, 2021
Davies’ version of the Hardy inequality gives a lower bound for the Dirichlet integral of a function vanishing on the boundary of a domain in terms of the integral of the squared function with a weight containing the averaged distance to the boundary ...
Frank, Rupert L.,, Larson, Simon,, Larson, Simon, Frank, Rupert L.   +3 more
core   +1 more source

L p $L^{p}$ Hardy type inequality in the half-space on the H-type group

Journal of Inequalities and Applications, 2016
In the current work we studied Hardy type and L p $L^{p}$ Hardy type inequalities in the half-space on the H-type group, where the Hardy inequality in the upper half-space R + n $\mathbf{R}_{+}^{n}$ was proved by Tidblom in (J. Funct. Anal.
Jianxun He, Mingkai Yin
doaj   +1 more source

A Bioregional Approach to Teaching Sustainability and Resilience Online

New Directions for Teaching and Learning, EarlyView.
ABSTRACT This chapter describes how the first graduate program in resilient and sustainable communities has evolved over the past decade, maintaining its bioregional approach to distance learning while adapting the curriculum to meet new challenges in the age of climate change.
Laird Christensen
wiley   +1 more source

Overdetermined Hardy Inequalities

Journal of Mathematical Analysis and Applications, 1997
The aim of the paper is to find necessary and sufficient conditions on the weights \(w\) and \(w_0\) for the validity of the higher-order Hardy inequality \[ \Biggl(\int^1_0| u|^qw_0\Biggr)^{1/q}\leq C\Biggl(\int^1_0| u^{(k+ 1)}|^p w\Biggr)^{1/p} \] on the class of all solutions of certain overdetermined boundary value problems.
Kufner, Alois, Sinnamon, Gordon
openaire   +1 more source

A Novel Digital Twin Platform for Accelerating Power Systems Restoration

Energy Internet, EarlyView.
Hardware Architecture Design of DT System in Laboratory. ABSTRACT With the global energy structure transforming towards the goal of net zero emissions, the penetration of an inverter‐based resource (IBR) in power systems is increasing. This transformation poses two critical challenges: the system post blackout restoration process becomes extremely ...
Yiliang Fan, Xiaolin Ding, Ray Zhang, Yucong Zhao, Nan Chen, Xiao‐Ping Zhang, Yixin Li, Chengyi Wu, Wenyan Qian   +8 more
wiley   +1 more source

The refinement and generalization of Hardy’s inequality in Sobolev space

Journal of Inequalities and Applications, 2018
In this paper, we refine the proof of Hardy’s inequality in (Evans in Partial Differential Equations, 2010, Hardy in Inequalities, 1952) and extend Hardy’s inequality from two aspects. That is to say, we extend the integral estimation function from u|x| $
Xiaomin Xue, Fushan Li
doaj   +1 more source

Towards a More Responsible Business School? Early Career Academics, Moral Identity Work and the Performative (Re)Constitution of the ‘Successful Academic’

British Journal of Management, EarlyView.
Abstract The role of business schools in exacerbating social and environmental issues has become increasingly apparent. However, substantive change is often stymied at both individual and institutional levels by a ubiquitous pressure on faculty members to conform to a specific embodiment of the ‘successful academic’.
Simon Oldham, Helen Wadham
wiley   +1 more source

HARDY-TYPE INEQUALITIES [PDF]

Taiwanese Journal of Mathematics, 2000
Hardy- and Paley-type inequalities are proved for \(n\)-dimensional Hermite and special Hermite expansions. However, there is a gap in the proof of the main theorem. In Proposition 3.1 the author should have investigated a sum of type \(\sum_{\mu_1,\ldots,\mu_n \in \mathbb N}\), though the sums \(\sum_{\mu_1,\ldots,\mu_n \leq \nu}\) and \(\sum_{\mu_1 ...
openaire   +2 more sources

Working‐Class Muscles? Co‐Operative Gyms in Interwar Britain

History, EarlyView.
Abstract The Health & Strength League's network of co‐operative gymnasiums constituted one of interwar Britain's most significant yet overlooked physical culture institutions, affiliating over 800 gyms across Britain and Ireland by 1939. Drawing on Health & Strength magazine's editorial content and reader contributions, this article argues that these ...
CONOR HEFFERNAN
wiley   +1 more source

Refinements of Hardy-Type Inequalities

Abstract and Applied Analysis, 2013
Using Hu Ke's inequality, which is a sharped Hölder's inequality, we present some new refinements of Hardy-type inequalities proposed by Imoru.
Jingfeng Tian, Yang-Xiu Zhou
doaj   +1 more source