On the free boundary regularity theorem of Alt and Caffarelli.

DOI10.3934/dcds.2004.10.397zbMath1051.31001OpenAlexW2046550472MaRDI QIDQ1433929

Tatiana Toro, Carlos E. Kenig

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.397

zbMATH Keywords

Poisson kernelHölder continuousReifenberg flat chord arc domainsReifenberg regularity condition

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Free boundary problems for PDEs (35R35)

Related Items (6)

A free boundary problem for the parabolic Poisson kernel ⋮ Free boundary regularity for almost-minimizers ⋮ Parabolic NTA domains in ℝ² ⋮ The one-phase problem for harmonic measure in two-sided NTA domains ⋮ Poisson kernel characterization of Reifenberg flat chord arc domains ⋮ Square functions, nontangential limits, and harmonic measure in codimension larger than 1

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