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...

Celý popis

Podrobná bibliografia

Vydané v:	Journal of functional analysis Ročník 289; číslo 11; s. 111142
Hlavní autori:	Gavioli, Chiara, Happ, Leon, Pagliari, Valerio
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.12.2025
Predmet:	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
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!