Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\)
DOI10.1016/j.jde.2021.08.040zbMath1481.53043arXiv2010.14882OpenAlexW3200260573MaRDI QIDQ2232191
Gianmarco Giovannardi, Manuel Ritoré
Publication date: 4 October 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14882
Heisenberg groupprescribed mean curvatureregularity of characteristic curvessub-Finsler perimetersub-Finsler structure
Optimization of shapes other than minimal surfaces (49Q10) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Sub-Riemannian geometry (53C17)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The regularity of Euclidean Lipschitz boundaries with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
- Intrinsic regular hypersurfaces in Heisenberg groups
- A cortical based model of perceptual completion in the roto-translation space
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Existence and uniqueness for \(p\)-area minimizers in the Heisenberg group
- Regularity of \(C^1\) surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
- Quantitative isoperimetric inequalities in \(\mathbb H^n\)
- Constant mean curvature surfaces in sub-Riemannian geometry
- Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
- The classification of complete stable area-stationary surfaces in the Heisenberg group
- Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group \(\mathbb H^1\)
- Examples of area-minimizing surfaces in the sub-Riemannian Heisenberg group \({\mathbb{H}^1}\) with low regularity
- Regularity of \(C^{1}\) smooth surfaces with prescribed \(p\)-mean curvature in the Heisenberg group
- Umbilicity and characterization of Pansu spheres in the Heisenberg group
- Higher dimensional holonomy map for rules submanifolds in graded manifolds
- The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group
- Differential geometry and analysis on CR manifolds
- Sub-Riemannian calculus on hypersurfaces in Carnot groups
- A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)
- Area-stationary surfaces inside the sub-Riemannian three-sphere
- \(H\)-minimal graphs of low regularity in \(\mathbb H^1\)
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- Pansu-Wulff shapes in \(\mathbb{H}^1\)
- Convex isoperimetric sets in the Heisenberg group
- Heisenberg isoperimetric problem. The axial case
- Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$
- Change of variables formula under minimal assumptions
- Area-minimizing cones in the Heisenberg group H
- Convex Bodies The Brunn-MinkowskiTheory
- A partial solution of the isoperimetric problem for the Heisenberg group
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Rectifiability and perimeter in the Heisenberg group
This page was built for publication: Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\)
