Hardy inequalities for p-Laplacians with Robin boundary conditions
File(s)hardy-Lp-final-revisited.pdf (288.99 KB)
Accepted version
Author(s)
Ekholm, T
Kovarik, H
Laptev, A
Type
Journal Article
Abstract
In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best constant equals ((p−1)/p)p whenever Dirichlet boundary conditions are imposed on a subset of the boundary of non-zero measure. We also discuss some generalizations to non-convex domains.
Date Issued
2015-09-09
Date Acceptance
2015-09-09
Citation
Nonlinear Analysis-Theory Methods & Applications, 2015, 128, pp.365-379
ISSN
0362-546X
Publisher
Elsevier
Start Page
365
End Page
379
Journal / Book Title
Nonlinear Analysis-Theory Methods & Applications
Volume
128
Copyright Statement
© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
p-Laplacian
Robin boundary conditions
Hardy inequality
GEOMETRICAL VERSION
EQUATIONS
CONSTANT
DOMAINS
Publication Status
Published