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Riemannian Manifolds with Discontinuous Metrics and the Dirichlet Integral

Published online by Cambridge University Press:  22 January 2016

Moses Glasner  and
Mitsuru Nakai
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Consider a relatively compact region Ω of a Riemann surface R. The term Dirichlet integral over Ω, DΩ(·), is used for the variation whose Euler-Lagrange equation is Δu = 0 on Ω and the term energy integral over Ω, , is used for the variation with Euler-Lagrange equation

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 46 , March 1972 , pp. 1 - 48
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

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