arXiv Analytics

Sign in

arXiv:1405.6167 [math.AP]AbstractReferencesReviewsResources

Hardy's inequality for functions vanishing on a part of the boundary

Moritz Egert, Robert Haller-Dintelmann, Joachim Rehberg

Published 2014-05-23, updated 2015-02-16Version 2

We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.

Comments: 26 pages, 2 figures, includes several improvements in Sections 6-8 allowing to relax the assumptions in the main results. Final version published at http://link.springer.com/article/10.1007%2Fs11118-015-9463-8
Categories: math.AP
Subjects: 26D10, 26D15, 42B20, 42B37
Related articles: Most relevant | Search more
arXiv:1311.6747 [math.AP] (Published 2013-11-26)
Multilinear Embedding and Hardy's Inequality
arXiv:2106.13363 [math.AP] (Published 2021-06-25)
Hardy's inequality and (almost) the Landau equation
arXiv:2209.03011 [math.AP] (Published 2022-09-07)
A note on the supersolution method for Hardy's inequality

Links

Toolbox