Singularities in L^p-quasidisks

Iwaniec, Tadeusz; Onninen, Jani; Zhu, Zheng

doi:10.5186/aasfm.2021.4665

dc.contributor.author	Iwaniec, Tadeusz
dc.contributor.author	Onninen, Jani
dc.contributor.author	Zhu, Zheng
dc.date.accessioned	2021-09-02T07:26:36Z
dc.date.available	2021-09-02T07:26:36Z
dc.date.issued	2021
dc.identifier.citation	Iwaniec, T., Onninen, J., & Zhu, Z. (2021). Singularities in L^p-quasidisks. <i>Annales Fennici Mathematici</i>, <i>46</i>(2), 1053-1069. <a href="https://doi.org/10.5186/aasfm.2021.4665" target="_blank">https://doi.org/10.5186/aasfm.2021.4665</a>
dc.identifier.other	CONVID_100323857
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/77643
dc.description.abstract	We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remove singularities. We give, in a connection of quasidisks, a sharp integrability condition for the distortion function to answer this question.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Suomen matemaattinen yhdistys ry
dc.relation.ispartofseries	Annales Fennici Mathematici
dc.rights	CC BY-NC 4.0
dc.subject.other	cusp
dc.subject.other	mappings of integrable distortion
dc.subject.other	quasiconformal
dc.subject.other	quasidisk
dc.title	Singularities in L^p-quasidisks
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202109024767
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1053-1069
dc.relation.issn	2737-0690
dc.relation.numberinseries	2
dc.relation.volume	46
dc.type.version	publishedVersion
dc.rights.copyright	© 2021 The Finnish Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	funktioteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p18494
dc.rights.url	https://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi	10.5186/aasfm.2021.4665
dc.type.okm	A1