Hardy’s Inequality for Functions Vanishing on a Part of the Boundary

We develop a geometric framework for Hardy’s inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.

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Bibliographic Details
Published in:Potential analysis 2015-07, Vol.43 (1), p.49-78
Main Authors: Egert, Moritz, Haller-Dintelmann, Robert, Rehberg, Joachim
Format: Article
Language:English
Subjects:
Analysis of PDEs
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Description
Summary:We develop a geometric framework for Hardy’s inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-015-9463-8