We apply general Hardy type inequalities, recently obtained by the author. As a consequence we obtain a family of Hardy-Poincaré inequalities with certain constants, contributing to the question about precise constants in such inequalities posed in [3]. We confirm optimality of some constants obtained in [3] and [8]. Furthermore, we give constants for generalized inequalities with the proof of their optimality.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-17,
author = {Iwona Skrzypczak},
title = {Hardy-Poincar\'e type inequalities derived from p-harmonic problems},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {225-238},
zbl = {1298.26060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-17}
}
Iwona Skrzypczak. Hardy-Poincaré type inequalities derived from p-harmonic problems. Banach Center Publications, Tome 102 (2014) pp. 225-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-17/