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scientific article; zbMATH DE number 7683984

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7683984

Statements

scholarly article

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Gianmarco Giovannardi

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publication date

10 May 2023

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zbMATH Keywords

Heisenberg group

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area-stationary surfaces

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sub-Finsler structure

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stable surfaces

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Bernstein problem

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sub-Finsler perimeter

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MaRDI profile type

MaRDI publication profile

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Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem

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Intrinsic regular hypersurfaces in Heisenberg groups

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The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations

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Minimal cones and the Bernstein problem

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Functional analysis, Sobolev spaces and partial differential equations

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

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The geometric Sobolev embedding for vector fields and the isoperimetric inequality

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

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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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Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni

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Stable complete minimal surfaces in 𝑅³ are planes

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Differential geometry and analysis on CR manifolds

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The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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On the oriented Plateau problem

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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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Regular submanifolds, graphs and area formula in Heisenberg groups

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

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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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Change of variables formula under minimal assumptions

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

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On two-dimensional variational problems in parametric form

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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group

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Proof of a conjecture of nirenberg

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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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One-sided complete stable minimal surfaces

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

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Minimal varieties in Riemannian manifolds

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Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.6092/ISSN.2240-2829/16158

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046284

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