Calculus of Variations and Geometric Measure Theory
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S. Mukherjee - X. Zhong

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

created by mukherjee on 20 Jun 2018
modified on 14 Nov 2018

[BibTeX]

preprint

Inserted: 20 jun 2018
Last Updated: 14 nov 2018

Year: 2017

ArXiv: 1711.04671 PDF

Abstract:

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.


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