On the restricted mean property for biharmonic functions

DOI10.1016/S1631-073X(02)02517-7zbMath1037.31003OpenAlexW1981188578MaRDI QIDQ1854671

Mohamed El Kadiri

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02517-7

zbMATH Keywords

mean value theorembiharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (2)

Liouville's theorem and the restricted biharmonic mean value property on the plane ⋮ Liouville's theorem and the restricted biharmonic mean value property.

Cites Work

• Mean values and harmonic functions
• A converse to the mean value theorem for harmonic functions
• A converse to the mean value theorem for biharmonic functions
• A zero-one law for a class of random walks and a converse to Gauss' mean value theorem
• Boundaries Induced by Non-negative Matrices
• A Converse to the Mean Value Theorem for Harmonic Functions
• Ergodic Theory and Boundaries
• Restricted Mean Values and Harmonic Functions
• Functions Possessing Restricted Mean Value Properties

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