Singular points of Hölder asymptotically optimally doubling measures

DOI10.1007/s00526-015-0918-yzbMath1339.28025arXiv1301.1993OpenAlexW2964279729MaRDI QIDQ5963587

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Publication date: 22 February 2016

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

Full work available at URL: https://arxiv.org/abs/1301.1993

zbMATH Keywords

Hausdorff distanceconic approximationoptimally doubling measureoptimally uniform measureReifenberg flatness

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Miscellaneous topics in measure theory (28E99)

Related Items (2)

A sharp bound on the Hausdorff dimension of the singular set of a uniform measure ⋮ Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data

Cites Work

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• On the smoothness of Hölder doubling measures
• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• Free boundary regularity for harmonic measures and Poisson kernels
• Square functions and uniform rectifiability
• Uniform measures and uniform rectifiability
• Flat points in zero sets of harmonic polynomials and harmonic measure from two sides

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