Bounded polyharmonic functions and the dimension of the manifold

DOI10.1215/kjm/1250523323zbMath0284.31007OpenAlexW1489029773MaRDI QIDQ1845105

Norman Mirsky, Cecilia Wang, Leo Sario

Publication date: 1973

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250523323

Mathematics Subject Classification ID

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

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Bounded biharmonic functions on the Poincaré $N$-ball ⋮ A relation between biharmonic Green’s functions of simply supported and clamped bodies ⋮ Completeness and existence of bounded biharmonic functions on a Riemannian manifold ⋮ Harmonic and quasiharmonic degeneracy of Riemannian manifolds