Dirichlet finite biharmonic functions with Dirichlet finite Laplacians

DOI10.1007/BF01109914zbMath0263.31006OpenAlexW1984675800MaRDI QIDQ2561309

Mitsuru Nakai, Leo Sario

Publication date: 1971

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171595

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (6)

Negative quasiharmonic functions ⋮ Bounded biharmonic functions on the Poincaré $N$-ball ⋮ Boundary value problems of biharmonic functions ⋮ 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

Cites Work

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• On the behavior of solutions of \(\Delta u = Pu\) at the Royden boundary
• Quasiharmonic Classification of Riemannian Manifolds

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