Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien

DOI10.5802/aif.720zbMath0377.31001OpenAlexW1963837867MaRDI QIDQ1246639

Alano Ancona

Publication date: 1978

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1978__28_4_169_0

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) General theory of partial differential operators (47F05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Second-order elliptic equations (35J15)

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• Über die Existenz harmonischer Minoranten von superharmonischen Funktionen
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• Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
• Barriers on cones for uniformly elliptic operators
• Espaces harmoniques associes aux opérateurs différentiels linéaires du second ordre de type elliptique
• Remarques sur la variation des fonctions sousharmoniques et les masses associées. Application
• On the Boundary Values of Harmonic Functions
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• Positive Harmonic Functions on Lipschitz Domains
• A boundary harnack principle for lipschitz domains and the principle of positive singularities

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