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Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries (Q2398421)

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English	Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries	scientific article

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scholarly article

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Improved Lipschitz approximation of \(H\)-perimeter minimizing boundaries (English)

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Giorgio Stefani

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Journal de Mathématiques Pures et Appliquées. Neuvième Série

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publication date

16 August 2017

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full work available at URL

https://arxiv.org/abs/1612.00263

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zbMATH Keywords

Heisenberg group

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regularity of \(H\)-minimal surfaces

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Lipschitz approximation

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MaRDI profile type

MaRDI publication profile

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Partial regularity for mass-minimizing currents in Hilbert spaces

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Locality of the perimeter in Carnot groups and chain rule

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

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Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group

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Poincaré-type inequality for Lipschitz continuous vector fields

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Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips

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Center manifold: A case study

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Rectifiability and perimeter in the Heisenberg group

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Regular submanifolds, graphs and area formula in Heisenberg groups

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Differentiability of intrinsic Lipschitz functions within Heisenberg groups

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Sets of Finite Perimeter and Geometric Variational Problems

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A new differentiation, shape of the unit ball and perimeter measure

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Lipschitz approximation of \(\mathbb H\)-perimeter minimizing boundaries

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Minimal surfaces and harmonic functions in the Heisenberg group

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Height estimate and slicing formulas in the Heisenberg group

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\(H\)-minimal graphs of low regularity 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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Graphs of bounded variation, existence and local boundedness of non-parametric minimal surfaces in Heisenberg groups

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Identifiers

zbMATH Open document ID

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10.1016/j.matpur.2017.04.002

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2398421

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