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ON THE HARDY-POINCARÉ INEQUALITY WITH BOUNDARY SINGULARITIES.

Authors :
FALL, MOUHAMED MOUSTAPHA
Source :
Communications in Contemporary Mathematics. Jun2012, Vol. 14 Issue 3, p1250019-1-1250019-13. 13p.
Publication Year :
2012

Abstract

Let Ω be a smooth bounded domain in ℝN with N ≥ 1. In this paper we study the Hardy-Poincaré inequality with weight function singular at the boundary of Ω. In particular we provide sufficient and necessary conditions on the existence of minimizers. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02191997
Volume :
14
Issue :
3
Database :
Academic Search Index
Journal :
Communications in Contemporary Mathematics
Publication Type :
Academic Journal
Accession number :
76371521
Full Text :
https://doi.org/10.1142/S0219199712500198