𝑝 harmonic measure in simply connected domains revisited

DOI10.1090/S0002-9947-2014-05979-5zbMath1317.31009OpenAlexW2100711177MaRDI QIDQ5496640

John L. Lewis

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-05979-5

zbMATH Keywords

\(p\)-Laplace equationsimply connected domains in \(\mathbb C\)

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Capacity and harmonic measure in the complex plane (30C85) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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On a theorem of Wolff revisited ⋮ Hausdorff dimension and \(\sigma\) finiteness of \(p\) harmonic measures in space when \(p \geq n\) ⋮ \(\sigma\)-finiteness of elliptic measures for quasilinear elliptic PDE in space

Cites Work

• On the dimension of \(p\)-harmonic measure in space
• \(p\) harmonic measure in simply connected domains
• Hausdorff dimension of harmonic measures in the plane
• The Wiener test for degenerate elliptic equations
• Plane harmonic measures live on sets of \(\sigma\)-finite length
• Note on \(p\)-harmonic measure
• On the Makarov law of the iterated logarithm
• On the Distortion of Boundary Sets Under Conformal Mappings
• The local regularity of solutions of degenerate elliptic equations
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