Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group ${\mathbb{H}}^1$ (Q6120647)

scientific article; zbMATH DE number 7823918

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English	Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group ${\mathbb{H}}^1$	scientific article; zbMATH DE number 7823918

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instance of

scholarly article

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title

Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group ${\mathbb{H}}^1$ (English)

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author

Gianmarco Giovannardi

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Julián Pozuelo

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Manuel Ritoré

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published in

New Trends in Geometric Analysis

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publication date

25 March 2024

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full work available at URL

https://arxiv.org/abs/2204.03474

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zbMATH Keywords

sub-Finsler geometry

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perimeter-minimizing sets

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area-minimizing cones

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Heisenberg group

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MaRDI profile type

MaRDI publication profile

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cites work

The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations

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An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem

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Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$

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Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1

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Q5489523

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Existence and uniqueness for $p$-area minimizers in the Heisenberg group

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Regularity of $C^{1}$ smooth surfaces with prescribed $p$-mean curvature in the Heisenberg group

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A notable family of entire intrinsic minimal graphs in the Heisenberg group which are not perimeter minimizing

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Large scale detection of half-flats in CAT(0)-spaces

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The isoperimetric problem for regular and crystalline norms in ${\mathbb{H}}^1$

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Rectifiability and perimeter in the Heisenberg group

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First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-Hermitian manifolds

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On the classification of complete area-stationary and stable surfaces in the subriemannian sol manifold

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

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Area-stationary and stable surfaces of class $C^1$ in the sub-Riemannian Heisenberg group $\mathbb{H}^1$

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Regularity of $C^1$ surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds

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Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

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Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group $\mathbb{H}^1$

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Area-minimizing cones in the Heisenberg group H

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The classification of complete stable area-stationary surfaces in the Heisenberg group

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Q3559342

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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

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Minimal surfaces in the Heisenberg group

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BV minimizers of the area functional in the Heisenberg group under the bounded slope condition

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Pansu-Wulff shapes in $\mathbb{H}^1$

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Examples of area-minimizing surfaces in the sub-Riemannian Heisenberg group ${\mathbb{H}^1}$ with low regularity

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Area-stationary surfaces in the Heisenberg group $\mathbb H^1$

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Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds

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Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group

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Identifiers

arXiv ID

2204.03474

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DOI

10.1007/978-3-031-39916-9_7

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6120647

Area-minimizing horizontal graphs with low regularity in the sub-Finsler Heisenberg group \({\mathbb{H}}^1\) (Q6120647)

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Sitelinks

Mathematics(1 entry)