Hardy-Poincaré type inequalities derived from p-harmonic problems

Iwona Skrzypczak

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 225-238
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Iwona Skrzypczak. "Hardy-Poincaré type inequalities derived from p-harmonic problems." Banach Center Publications 101.1 (2014): 225-238. <http://eudml.org/doc/282383>.

@article{IwonaSkrzypczak2014,
abstract = {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.},
author = {Iwona Skrzypczak},
journal = {Banach Center Publications},
keywords = {Hardy inequalities; Hardy-Poincaré inequalities; -harmonic problems; nonlinear eigenvalue problems},
language = {eng},
number = {1},
pages = {225-238},
title = {Hardy-Poincaré type inequalities derived from p-harmonic problems},
url = {http://eudml.org/doc/282383},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Iwona Skrzypczak
TI - Hardy-Poincaré type inequalities derived from p-harmonic problems
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 225
EP - 238
AB - 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.
LA - eng
KW - Hardy inequalities; Hardy-Poincaré inequalities; -harmonic problems; nonlinear eigenvalue problems
UR - http://eudml.org/doc/282383
ER -

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