Positive harmonic functions and biharmonic degeneracy

DOI10.1090/S0002-9904-1973-13146-5zbMath0252.31010OpenAlexW2076478809MaRDI QIDQ5665451

Leo Sario, Cecilia Wang

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13146-5

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items

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

Cites Work

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• Generators of the space of bounded biharmonic functions
• Counterexamples in the biharmonic classification of Riemannian 2-manifolds
• N-manifolds carrying bounded but no Dirichlet finite harmonic functions