Generic uniqueness of a minimal solution for variational problems on a torus

Alexander J. Zaslavski

Abstract and Applied Analysis, 2002, vol. 7, issue 3, 143-154

Abstract: We study minimal solutions for one‐dimensional variational problems on a torus. We show that, for a generic integrand and any rational number α, there exists a unique (up to translations) periodic minimal solution with rotation number α.

Date: 2002
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https://doi.org/10.1155/S1085337502000842

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:3:p:143-154

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