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Dirichlet finite biharmonic functions on the plane with distorted metrics
Published online by Cambridge University Press: 22 January 2016
Extract
The Laplace-Beltrami operator Δ on a smooth manifold M with a smooth Riemannian metric ds2 = ∑i,jgij(x)dxidxj applied to a smooth function φ takes the form Functions in the class H2(M) = {u∈ C4(M); Δ2u = 0} are called biharmonic.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1973
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