Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem

DOI10.4171/IFB/452zbMath1477.35317arXiv1908.01413OpenAlexW3194506715MaRDI QIDQ2244858

Bozhidar Velichkov, Maria Colombo, Luca Spolaor

Publication date: 12 November 2021

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01413

zbMATH Keywords

singular pointsfrequency functionmonotonicity formulathin obstacle problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Free boundary problems for PDEs (35R35) Blow-up in context of PDEs (35B44) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

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Free boundary partial regularity in the thin obstacle problem

Cites Work

• Rectifiable-Reifenberg and the regularity of stationary and minimizing harmonic maps
• Generic regularity of free boundaries for the obstacle problem
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• The structure of the free boundary for lower dimensional obstacle problems