A Property of Biharmonic Functions with Dirichlet Finite Laplacians.

DOI10.7146/MATH.SCAND.A-11057zbMath0246.31009OpenAlexW2531225027MaRDI QIDQ5658357

Leo Sario, Mitsuru Nakai

Publication date: 1971

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166216

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Potentials and capacities on other spaces (31C15)

Related Items (5)

Negative quasiharmonic functions ⋮ 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

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