Quasiharmonic \(L^p\) functions and biharmonic degeneracy

DOI10.2748/tmj/1178229603zbMath0427.31008OpenAlexW2031838682MaRDI QIDQ1136899

Cecilia Wang, Lung Ock Chung, Leo Sario

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229603

zbMATH Keywords

Riemannian manifoldLaplace-Beltrami operatorbiharmonic functionsquasiharmonic functionsPoincare N-ball

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Pluriharmonic and plurisubharmonic functions (31C10) Potential theory on Riemannian manifolds and other spaces (31C12)

Cites Work

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• Quasiharmonic \(L^ p\) functions on the Poincaré N-ball
• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
• Existence of Dirichlet finite biharmonic functions on the Poincaré 3-ball
• Dirichlet finite biharmonic functions on the Poincaré N-ball.
• Bounded biharmonic functions on the Poincaré $N$-ball