Negative quasiharmonic functions

DOI10.2748/tmj/1178241237zbMath0276.31005OpenAlexW1968309110MaRDI QIDQ1393635

Leo Sario, Cecilia Wang

Publication date: 1974

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241237

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Axiomatic potential theory (31D05) Higher-dimensional potential theory (31B99)

Related Items (6)

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 ⋮ Completeness and existence of bounded biharmonic functions on a Riemannian manifold ⋮ Harmonic and quasiharmonic degeneracy of Riemannian manifolds ⋮ Unnamed Item

Cites Work

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• Polyharmonic classification of Riemannian manifolds
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• Counterexamples in the biharmonic classification of Riemannian 2-manifolds
• Radial quasiharmonic functions
• Dirichlet finite biharmonic functions with Dirichlet finite Laplacians
• Dirichlet finite biharmonic functions on the plane with distorted metrics
• Quasiharmonic Classification of Riemannian Manifolds
• Dirichlet Finite Biharmonic Functions on the Unit Disk with Distorted Metrics
• A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
• Biharmonic classification of Riemannian manifolds

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