C1,α-regularity for variational problems in the Heisenberg group

Mukherjee, Shirsho; Zhong, Xiao

doi:10.2140/apde.2021.14.567

dc.contributor.author	Mukherjee, Shirsho
dc.contributor.author	Zhong, Xiao
dc.date.accessioned	2021-10-01T07:14:11Z
dc.date.available	2021-10-01T07:14:11Z
dc.date.issued	2021
dc.identifier.citation	Mukherjee, S., & Zhong, X. (2021). C1,α-regularity for variational problems in the Heisenberg group. <i>Analysis and PDE</i>, <i>14</i>(2), 567-594. <a href="https://doi.org/10.2140/apde.2021.14.567" target="_blank">https://doi.org/10.2140/apde.2021.14.567</a>
dc.identifier.other	CONVID_86919991
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/77976
dc.description.abstract	We study the regularity of minima of scalar variational integrals of p-growth, 1<p><∞, in the Heisenberg group and prove the Hölder continuity of horizontal gradient of minima.</p>	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Mathematical Sciences Publishers
dc.relation.ispartofseries	Analysis and PDE
dc.rights	In Copyright
dc.subject.other	Heisenberg groups
dc.subject.other	p-Laplacian
dc.subject.other	weak solutions
dc.subject.other	regularity
dc.subject.other	subelliptic equations
dc.title	C1,α-regularity for variational problems in the Heisenberg group
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202110015039
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	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	567-594
dc.relation.issn	2157-5045
dc.relation.numberinseries	2
dc.relation.volume	14
dc.type.version	acceptedVersion
dc.rights.copyright	© Authors, 2021
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	osittaisdifferentiaaliyhtälöt
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p12392
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.2140/apde.2021.14.567
dc.type.okm	A1