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Intrinsic Difference Quotients (Q2974754)

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Language	Label	Description	Also known as
English	Intrinsic Difference Quotients	scientific article

Statements

scholarly article

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Intrinsic Difference Quotients (English)

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Harmonic Analysis, Partial Differential Equations and Applications

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publication date

10 April 2017

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zbMATH Keywords

Carnot groups

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intrinsic derivatives

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intrinsic difference quotients

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intrinsic Lipschitz functions

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Raul Paolo Serapioni

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-52742-0_10

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Rectifiable sets in metric and Banach spaces

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Currents in metric spaces

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Intrinsic regular hypersurfaces in Heisenberg groups

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Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane

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Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs

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Distributional solutions of Burgers' equation and intrinsic regular graphs in Heisenberg groups

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Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs

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Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation

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Stratified Lie Groups and Potential Theory for their Sub-Laplacians

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

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Subelliptic estimates and function spaces on nilpotent Lie groups

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Intrinsic Lipschitz graphs within Carnot groups

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Rectifiability and perimeter in the Heisenberg group

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Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups

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On the structure of finite perimeter sets in step 2 Carnot groups

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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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Differentiability and approximate differentiability for intrinsic Lipschitz functions in Carnot groups and a Rademacher theorem

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Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS

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Characterizations of intrinsic rectifiability in Heisenberg groups

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A notion of rectifiability modeled on Carnot groups

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On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights

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

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Identifiers

10.1007/978-3-319-52742-0_10

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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:2974754

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