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$C^{1,\alpha}$-regularity
for variational problems in the Heisenberg group
Shirsho Mukherjee and Xiao Zhong |
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Vol. 14 (2021), No. 2, 567–594
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Abstract |
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We study the regularity of minima of scalar variational integrals of -growth, , in the Heisenberg group and prove the Hölder continuity of horizontal gradient of minima. |
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Keywords
Heisenberg groups, $p$-Laplacian, weak solutions,
regularity, subelliptic equations
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Mathematical Subject Classification 2010
Primary: 35H20, 35J70
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Milestones
Received: 3 October 2018
Revised: 1 October 2019
Accepted: 21 November 2019
Published: 20 March 2021
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Authors |
| Shirsho Mukherjee | |
| Department of Mathematics and
Statistics University of Jyväskylä Jyväskylä Finland |
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| Xiao Zhong | |
| Department of Mathematics and
Statistics University of Helsinki Helsinki Finland |
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