Pointwise Fatou theorem for generalized harmonic functions -- normal boundary values

DOI10.1007/BF01049809zbMath0807.35049MaRDI QIDQ1338326

V. Pereyra

Publication date: 29 November 1994

Published in: Potential Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorgeneralized harmonic functionsnormal limit value at a given boundary point

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (2)

On the boundary behavior of positive solutions of elliptic differential equations ⋮ On the pointwise converse of Fatou's theorem for Euclidean and real hyperbolic spaces

Cites Work

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• The pointwise Fatou theorem and its converse for positive pluriharmonic functions
• Problème de Fatou ponctuel et dérivabilité des mesures. (Pointwise Fatou problem and differentiability of measures)
• Generalized derivatives and the radial growth of positive harmonic functions
• Hardy classes and mean value formulas for generalized harmonic functions in a ball
• Über einige Konvexitätsfragen bei partiellen Differentialgleichungen vom Sturmschen Typus
• On the Behavior of Harmonic Functions Near a Boundary Point
• Conditional Gauge and Potential Theory for the Schrodinger Operator
• The Fatou Theorem for Functions Harmonic in a Half-Space
• The Converse of the Fatou Theorem for Positive Harmonic Functions
• Regularly varying functions

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