Martin boundary of a fractal domain
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Publication:1868140
DOI10.1023/A:1021823023212zbMath1021.31002OpenAlexW1538341322MaRDI QIDQ1868140
Tomohiko Mizutani, Hiroaki Aikawa, Torbjörn Lundh
Publication date: 27 April 2003
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1021823023212
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25)
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Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces ⋮ Scale-invariant boundary Harnack principle in inner uniform domains ⋮ Doubling conditions for harmonic measure in John domains ⋮ Boundary estimates for superharmonic functions and solutions of semilinear elliptic equations with source ⋮ Potential theory on minimal hypersurfaces. I: Singularities as Martin boundaries ⋮ A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains ⋮ Boundaries of planar graphs, via circle packings ⋮ Quasisymmetric conjugacy between quadratic dynamics and iterated function systems ⋮ Boundary Harnack principle and elliptic Harnack inequality ⋮ The Dirichlet heat kernel in inner uniform domains in fractal-type spaces ⋮ Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains ⋮ Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries
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