On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics

DOI10.3934/DCDS.2006.15.833zbMath1116.58011OpenAlexW1988316174MaRDI QIDQ874389

Marco Degiovanni, Flavia Antonacci

Publication date: 5 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.833

zbMATH Keywords

Riemannian manifoldsminimal geodesicsdiscontinuous metricsrefraction problems

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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Variational methods with application to one-dimensional boundary value problems and numerical evaluations

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