Generic uniqueness of a minimal solution for variational problems on a torus (Q1608798)
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scientific article; zbMATH DE number 1780529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic uniqueness of a minimal solution for variational problems on a torus |
scientific article; zbMATH DE number 1780529 |
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Generic uniqueness of a minimal solution for variational problems on a torus (English)
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13 August 2002
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Summary: We study minimal solutions for one-dimensional variational problems on a torus. We show that, for a generic integrand and any rational number \(\alpha\), there exists a unique (up to translations) periodic minimal solution with rotation number \(\alpha\).
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one-dimensional variational problems
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periodic minimal solution
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Frenkel-Kontorova model
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0.94310004
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0.8828811
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0.87896466
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0.87526655
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0.8719019
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0.8699168
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