On the boundary Harnack principle in Hölder domains

DOI10.3934/mine.2022004zbMath1496.35114arXiv2005.03079OpenAlexW3176179165MaRDI QIDQ2167573

Ovidiu V. Savin, Daniela De Silva

Publication date: 25 August 2022

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03079

zbMATH Keywords

boundary Harnack principleHölder domainsCarleson estimatedivergence operatorsnon-divergence operators

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

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• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Hölder domains and the boundary Harnack principle
• A boundary Harnack principle in twisted Hölder domains
• Comparisons of Kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• Estimates of harmonic measure
• On boundary behavior of harmonic functions in Hölder domains
• A short proof of boundary Harnack principle
• Boundary Harnack principle for second order elliptic equations with unbounded drift
• The Boundary Harnack Principle for Non-Divergence form Elliptic Operators
• A boundary harnack principle for lipschitz domains and the principle of positive singularities

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