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arXiv:1711.04671 [math.AP]AbstractReferencesReviewsResources

$C^{1,α}$-Regularity for variational problems in the Heisenberg group

Shirsho Mukherjee, Xiao Zhong

Published 2017-11-10Version 1

We study the regularity of minima of scalar variational integrals of $p$-growth, $1<p<\infty$, in the Heisenberg group and prove the H\"older continuity of horizontal gradient of minima.

Comments: arXiv admin note: text overlap with arXiv:1711.03284
Categories: math.AP
Subjects: 35H20, 35J70
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