Lipschitz functions with prescribed blowups at many points

DOI10.1007/s00526-019-1559-3zbMath1423.26023arXiv1612.05280OpenAlexW2561570146MaRDI QIDQ2421277

Andrea Schioppa, Andrea Marchese

Publication date: 14 June 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05280

zbMATH Keywords

Lipschitz functionsAlberti representationsdecomposability bundle of Radon measure

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Approximation by other special function classes (41A30) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Geometric embeddings of metric spaces (30L05)

Related Items (1)

Cone unrectifiable sets and non-differentiability of Lipschitz functions

Cites Work

• Derivations and Alberti representations
• The Lip-lip equality is stable under blow-up
• On the differentiability of Lipschitz functions with respect to measures in the Euclidean space
• On the structure of \({\mathcal A}\)-free measures and applications
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Lusin-type theorems for Cheeger derivatives on metric measure spaces
• A Lusin type theorem for gradients
• Lusin type theorems for Radon measures
• The multidimensional Luzin theorem
• A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve

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