## On the Finsler metrics obtained as limits of chessboard structures

Amar, Micol
Crasta, Graziano
Malusa, Annalisa
##### Description
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