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

Alexander J. Zaslavski

Abstract and Applied Analysis, 2002, vol. 7, 1-12

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:460976

DOI: 10.1155/S1085337502000842

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