Estimates for the Products of the Green Function and the Martin Kernel

DOI10.1017/S0027763000009429zbMath1143.31004OpenAlexW1851286980MaRDI QIDQ5448730

Kentaro Hirata

Publication date: 7 March 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1197908741

zbMATH Keywords

Green functionboundary behaviorMartin kernel

Mathematics Subject Classification ID

Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (2)

Existence and nonexistence of a positive solution of the Lane-Emden equation having a boundary singularity: the subcritical case ⋮ Properties of superharmonic functions satisfying nonlinear inequalities in nonsmooth domains

Cites Work

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• Conditional Gauge and Potential Theory for the Schrodinger Operator
• A Classical Proof of Burdzy's Theorem on the Angular Derivative
• HÖLDER CONTINUITY OF THE DIRICHLET SOLUTION FOR A GENERAL DOMAIN
• From Brownian Motion to Schrödinger’s Equation
• A Short Proof of Burdzy's Theorem on the Angular Derivative
• BOUNDARY BEHAVIOUR OF QUOTIENTS OF MARTIN KERNELS
• Conditioned Brownian motion in planar domains
• Boundary Harnack principle and Martin boundary for a uniform domain

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