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Geometric second derivative estimates in Carnot groups and convexity (Q948926)

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Language	Label	Description	Also known as
English	Geometric second derivative estimates in Carnot groups and convexity	scientific article

Statements

scholarly article

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Geometric second derivative estimates in Carnot groups and convexity (English)

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Nicola Garofalo

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Manuscripta Mathematica

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publication date

16 October 2008

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full work available at URL

https://arxiv.org/abs/0803.1021

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MaRDI profile type

MaRDI publication profile

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Size of characteristic sets and functions with prescribed gradient

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ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP

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The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics

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Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées

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The geometric Sobolev embedding for vector fields and the isoperimetric inequality

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Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds

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Notion of convexity in Carnot groups

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Sub-Riemannian calculus on hypersurfaces in Carnot groups

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The theorem of Busemann-Feller-Alexandrov in Carnot groups

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Subelliptic Cordes estimates

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Subelliptic estimates and function spaces on nilpotent Lie groups

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New properties of convex functions in the Heisenberg group

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Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.

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The first eigenvalue of a sublaplacian on a pseudohermitian manifold

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Maximum and Comparison Principles for Convex Functions on the Heisenberg Group

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Constant mean curvature surfaces in sub-Riemannian geometry

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Hypoelliptic second order differential equations

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On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set

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Linear and quasilinear elliptic equations

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Convex functions on the Heisenberg group

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Characteristic points, rectifiability and perimeter measure on stratified groups

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First-order regularity of convex functions on Carnot groups

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L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group

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Sopra una classe di equazioni ellittiche a coefficienti misurabili

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Viscosity convex functions on Carnot groups

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The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition

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Identifiers

zbMATH Open document ID

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10.1007/s00229-008-0182-y

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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:948926

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