Superposition operator in Sobolev spaces on domain

dc.contributor.author	Labutin, Denis
dc.date.accessioned	2015-12-13T23:20:46Z
dc.date.available	2015-12-13T23:20:46Z
dc.date.issued	2000
dc.date.updated	2015-12-12T09:04:27Z
dc.description.abstract	For an arbitrary open set Ω ⊂ ℝn we characterize all functions G on the real line such that G o u ∈ W1,p(Ω) for all u ∈ W1,p. New element in the proof is based on Maz'ya's capacitary criterion for the imbedding W1,p(Ω) → L∞(Ω).
dc.identifier.issn	0002-9939
dc.identifier.uri	http://hdl.handle.net/1885/90857
dc.publisher	American Mathematical Society
dc.source	Proceedings of the American Mathematical Society
dc.subject	Keywords: Sobolev spaces; Superposition operator
dc.title	Superposition operator in Sobolev spaces on domain
dc.type	Journal article
local.bibliographicCitation.issue	2
local.bibliographicCitation.lastpage	3403
local.bibliographicCitation.startpage	3399
local.contributor.affiliation	Labutin, Denis, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruid	Labutin, Denis, u3887902
local.description.notes	Imported from ARIES
local.description.refereed	Yes
local.identifier.absfor	010105 - Group Theory and Generalisations
local.identifier.ariespublication	MigratedxPub21341
local.identifier.citationvolume	128
local.identifier.scopusID	2-s2.0-23044521792
local.type.status	Published Version

Collections