Note on \(p\)-harmonic measure

DOI10.1007/BF03321120zbMath1161.35406OpenAlexW2008893304MaRDI QIDQ2497131

John L. Lewis

Publication date: 1 August 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321120

zbMATH Keywords

Hausdorff measure\(p\)-Laplacian\(p\)-harmonic measuredimension of a measure

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (10)

Unnamed Item ⋮ Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics ⋮ Hausdorff dimension and \(\sigma\) finiteness of \(p\) harmonic measures in space when \(p \geq n\) ⋮ \(p\) harmonic measure in simply connected domains ⋮ The behavior at infinity of \(p\)-harmonic measure in an infinite slab ⋮ \(\sigma\)-finiteness of elliptic measures for quasilinear elliptic PDE in space ⋮ On the logarithm of the minimizing integrand for certain variational problems in two dimensions ⋮ Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains ⋮ The \(p\)-harmonic measure of small axially symmetric sets ⋮ 𝑝 harmonic measure in simply connected domains revisited

Cites Work

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• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Area integral estimates for elliptic differential operators with non- smooth coefficients
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Approximation of Sobolev functions in Jordan domains
• The Wiener test for degenerate elliptic equations
• Area distortion of quasiconformal mappings
• Uniform domains and the ubiquitous quasidisk
• On the Distortion of Boundary Sets Under Conformal Mappings
• The local regularity of solutions of degenerate elliptic equations
• On the Area Distortion by Quasiconformal Mappings

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