The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds

DOI10.1016/j.na.2016.02.009zbMath1336.53044arXiv1507.07181OpenAlexW2964040871WikidataQ115342910 ScholiaQ115342910MaRDI QIDQ266675

Matteo Galli

Publication date: 13 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07181

zbMATH Keywords

Heisenberg groupminimal surfacesgeometric variational problemssub-Riemannian geometrycontact manifoldsprescribed mean curvature surfaces

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Sub-Riemannian geometry (53C17)

Related Items (5)

Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group \({\mathbb{H}}^1\) ⋮ An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms ⋮ Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\) ⋮ The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group ⋮ Strongly stable surfaces in sub-Riemannian 3-space forms

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