These lecture notes describe a new development in the calculus of variations called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was the description of the motion of electrons in a two-dimensional crystal in terms of a simple model. To do so, Aubry investigated a discr
β¦ LIBER β¦
Selected new aspects of the calculus of variations in the large
β Scribed by Ekeland, Ivar; Ghoussoub, Nassif
- Book ID
- 111897540
- Publisher
- American Mathematical Society
- Year
- 2002
- Tongue
- English
- Weight
- 46 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0273-0979
No coin nor oath required. For personal study only.
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The calculus of variations has a long history of interaction with other branches of mathematics, such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical en