On the existence of extensions for manifold-valued Sobolev maps on perforated domains

Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, connected C2-manifold without boundary. The proof combines a by now classical extension result for the unconstrained case w...

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Bibliographic Details

Published in:	Journal of functional analysis Vol. 289; no. 11; p. 111142
Main Authors:	Gavioli, Chiara, Happ, Leon, Pagliari, Valerio
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.12.2025
Subjects:	Extension of functions Manifold constraint Perforated domain Trace operator 54C20 55S35 Extension of functions 46E35 Perforated domain 46T10 Manifold constraint Trace operator
ISSN:	0022-1236
Online Access:	Get full text
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