Behavior of biharmonic functions on Wiener's and Royden's compactifications

DOI10.5802/AIF.387zbMath0208.13703OpenAlexW1988230549MaRDI QIDQ2543593

Yanyan Li

Publication date: 1971

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1971__21_3_217_0

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (9)

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

Cites Work

• The span and principal functions in Riemannian spaces
• Quasiharmonic Classification of Riemannian Manifolds
• Biharmonic classification of Riemannian manifolds
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