Polysubharmonic functions near infinity in \(\mathbb{R}^n\)

DOI10.1007/S11118-004-2655-2zbMath1073.31003OpenAlexW2057113792MaRDI QIDQ1774178

Victor Anandam

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1007/s11118-004-2655-2

zbMATH Keywords

polyharmonic functionsBôcher's theorempolysubharmonic functions

Mathematics Subject Classification ID

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

Cites Work

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• Biharmonic Green domains in \(\mathbb{R}^n\)
• Biharmonic point singularities in \(\mathbb{R}^n\)
• A Liouville theorem for polyharmonic functions
• An integral representation and fine limits at infinity for functions whose Laplacians iterated \(m\) times are measures
• On the integral representation of bisubharmonic functions in R^n
• Subharmonic Functions Outside a Compact Set in R n
• A generalization of the Liouville theorem to polyharmonic functions
• A generalization of Bôcher's theorem for polyharmonic functions

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