Absolute continuity of harmonic measure for domains with lower regular boundaries
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Publication:1721976
DOI10.1016/j.aim.2019.01.021zbMath1429.31003arXiv1605.07291OpenAlexW2964199723MaRDI QIDQ1721976
Murat Akman, Jonas Azzam, Mihalis Mourgoglou
Publication date: 13 February 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.07291
Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (7)
Dimension drop for harmonic measure on Ahlfors regular boundaries ⋮ A two-phase free boundary problem for harmonic measure and uniform rectifiability ⋮ Tangent measures of elliptic measure and applications ⋮ Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains ⋮ Approximate tangents, harmonic measure, and domains with rectifiable boundaries ⋮ Radon measures and Lipschitz graphs
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