On the Finsler metrics obtained as limits of chessboard structures

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Amar, Micol
Crasta, Graziano
Malusa, Annalisa
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Abstract
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We study the geodesics in a planar chessboard structure with two values 1 and $\beta>1$. The results for a fixed structure allow us to infer the properties of the Finsler metrics obtained, with an homogenization procedure, as limit of oscillating chessboard structures.
Comment: 31 pages, 15 figures
Keywords
Mathematics - Analysis of PDEs, Mathematics - Metric Geometry, 35B27
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