Affiliation:
1. ETH Zürich Zürich Switzerland
Abstract
AbstractFor the thin obstacle problem in , , we prove that at all free boundary points, with the exception of a ‐dimensional set, the solution differs from its blow‐up by higher order corrections. This expansion entails a C1, 1‐type free boundary regularity result, up to a codimension 3 set.
Funder
European Research Council
Subject
Applied Mathematics,General Mathematics
Reference23 articles.
1. F.Almgren Dirichlet's problem for multiple valued functions and the regularity of mass minimizing integral currents Minimal submanifolds and geodesics (Proc. Japan‐United States Sem. Tokyo 1977) North‐Holland Amsterdam‐New York 1979 pp.1–6.
2. Optimal regularity of lower dimensional obstacle problems;Athanasopoulos I.;Zap. Nauchn. Sem. S.‐Petersburg. Otdel. Mat. Inst. Steklov.,2004
3. The structure of the free boundary for lower dimensional obstacle problems
4. Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications
5. Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献