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 α, there exists a unique (up to translations) periodic minimal solution with rotation number α.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502000842 |
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doaj-0c8b418b9bd4414bbc7ef67e9aa5e1f62020-11-24T21:15:14ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092002-01-017314315410.1155/S1085337502000842Generic uniqueness of a minimal solution for variational problems on a torusAlexander J. Zaslavski0Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, IsraelWe 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.http://dx.doi.org/10.1155/S1085337502000842 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander J. Zaslavski |
| spellingShingle |
Alexander J. Zaslavski Generic uniqueness of a minimal solution for variational problems on a torus Abstract and Applied Analysis |
| author_facet |
Alexander J. Zaslavski |
| author_sort |
Alexander J. Zaslavski |
| title |
Generic uniqueness of a minimal solution for variational problems on a torus |
| title_short |
Generic uniqueness of a minimal solution for variational problems on a torus |
| title_full |
Generic uniqueness of a minimal solution for variational problems on a torus |
| title_fullStr |
Generic uniqueness of a minimal solution for variational problems on a torus |
| title_full_unstemmed |
Generic uniqueness of a minimal solution for variational problems on a torus |
| title_sort |
generic uniqueness of a minimal solution for variational problems on a torus |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2002-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S1085337502000842 |
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AT alexanderjzaslavski genericuniquenessofaminimalsolutionforvariationalproblemsonatorus |
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1716745876676804608 |