REFINED GEOMETRIC Lp HARDY INEQUALITIES-Reference-Cited by-同舟云学术

REFINED GEOMETRIC Lp HARDY INEQUALITIES

Published:2003-12 Issue:06 Volume:05 Page:869-881
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BARBATIS G.¹,FILIPPAS S.²,TERTIKAS A.³⁴

Affiliation:

1. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

2. Department of Applied Mathematics, University of Crete, 71409 Heraklion, Greece

3. Department of Mathematics, University of Crete, 71409 Heraklion, Greece

4. Institute of Applied and Computational Mathematics, FORTH, 71110 Heraklion, Greece

Abstract

For a bounded convex domain Ω in RN we prove refined Hardy inequalities that involve the Hardy potential corresponding to the distance to the boundary of Ω, the volume of Ω, as well as a finite number of sharp logarithmic corrections. We also discuss the best constant of these inequalities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199703001166

Reference12 articles.

1. Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

2. Eigenvalue stability bounds via weighted Sobolev spaces

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