Alexander J. Zaslavski, "Generic uniqueness of a minimal solution for variational problems on a torus", Abstract and Applied Analysis, vol. 7, Article ID 460976, 12 pages, 2002. https://doi.org/10.1155/S1085337502000842
Generic uniqueness of a minimal solution for variational problems on a torus
We study minimal solutions for one-dimensional variational problems on a torus. We show that, for a generic integrand and any rational number , there exists a unique (up to translations) periodic minimal solution with rotation number .
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