Quasiharmonic functions on the Poincaré 𝑁-ball

DOI10.1090/S0002-9904-1973-13260-4zbMath0271.31004MaRDI QIDQ3215508

Leo Sario, Cecilia Wang

Publication date: 1973

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

Mathematics Subject Classification ID

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

Related Items (1)

Dirichlet finite biharmonic functions on the Poincaré 𝑁-ball

Cites Work

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• Negative quasiharmonic functions
• Behavior of biharmonic functions on Wiener's and Royden's compactifications
• Existence of Dirichlet finite biharmonic functions on the Poincaré 3-ball
• Parabolicity and existence of bounded biharmonic functions
• Radial quasiharmonic functions
• Parabolicity and Existence of Dirichlet Finite Biharmonic Functions
• Harmonic and biharmonic degeneracy
• Construction of Principal Functions by Orthogonal Projection
• Quasiharmonic Classification of Riemannian Manifolds
• Positive harmonic functions and biharmonic degeneracy
• N-manifolds carrying bounded but no Dirichlet finite harmonic functions
• Dirichlet finite biharmonic functions on the Poincaré 𝑁-ball

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