𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Selected new aspects of the calculus of variations in the large

✍ 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

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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

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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