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

DOI10.1016/j.crma.2005.03.001zbMath1066.31007OpenAlexW1988942873MaRDI QIDQ1780702

Mohamed El Kadiri

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.001

zbMATH Keywords

biharmonic functionsrestricted mean valuebounded Lebesgue measurable function

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Means (26E60)

Related Items (1)

MEAN-VALUE PROPERTY ON MANIFOLDS WITH MINIMAL HOROSPHERES

Cites Work

• Liouville's theorem and the restricted mean value property in the plane
• 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
• On the restricted mean property for biharmonic functions
• Restricted mean value property on \(\mathbb{R}^ d, d\leq 2\)
• Liouville's theorem and the restricted mean value property

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