Existence of Dirichlet finite biharmonic functions on the Poincaré 3-ball

DOI10.2140/pjm.1973.48.267zbMath0242.31008OpenAlexW2029996481MaRDI QIDQ2554073

Cecilia Wang, Leo Sario

Publication date: 1973

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1973.48.267

Mathematics Subject Classification ID

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

Related Items (8)

Quasiharmonic functions on the Poincaré 𝑁-ball ⋮ Quasiharmonic \(L^p\) functions and biharmonic degeneracy ⋮ Negative quasiharmonic functions ⋮ Bounded biharmonic functions on the Poincaré $N$-ball ⋮ Dirichlet finite 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

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