Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold

Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold

We investigate the continuity and differentiability of the Hardy constant with respect to perturbations of the domain in the case where the problem involves the distance from a boundary submanifold. We also investigate the case where only the submanifold is deformed.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2024-04, Vol.154 (2), p.408-423
1. Verfasser: Paschalis, Miltiadis
Format: Artikel
Sprache:eng
Schlagworte:
Inequality
Lie groups
Manifolds (mathematics)
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Beschreibung
Zusammenfassung:We investigate the continuity and differentiability of the Hardy constant with respect to perturbations of the domain in the case where the problem involves the distance from a boundary submanifold. We also investigate the case where only the submanifold is deformed.
ISSN:0308-2105
1473-7124
DOI:10.1017/prm.2023.15