On Sobolev extension domains in $R^n$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225967We describe a class of Sobolev $W^k_p$-extension domains $Ω\subset R^n$ determined by a certain inner subhyperbolic metric in $Ω$. This enables us to characterize finitely connected Sobolev $W^1_p$-extension domains in $R^2$ for each $p>2$.37 pagesFunctional Analysis46E35On Sobolev extension domains in $R^n$text