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An integral representation and fine limits at infinity for functions whose Laplacians iterated \(m\) times are measures

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Publication:1378303
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DOI10.32917/HMJ/1206126960zbMath0893.31007OpenAlexW1556332467MaRDI QIDQ1378303

Yoshihiro Mizuta

Publication date: 16 August 1998

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206126960


zbMATH Keywords

superharmonic functionspolyharmonic functionsbehaviour at infinityRiesz's decomposition theorem


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integral representations of solutions to PDEs (35C15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)


Related Items (2)

A Montel type result for super-polyharmonic functions on \(\mathbb{R}^N\) ⋮ Polysubharmonic functions near infinity in \(\mathbb{R}^n\)







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