On the Euler–Lagrange Equation for Functionals of the Calculus of Variations without Upper Growth Conditions
✍ Scribed by Degiovanni, Marco; Marzocchi, Marco
- Book ID
- 118205791
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 193 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0363-0129
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond
Following the path integral formalism for stochastic processes, we study formal properties of the extremal path, the Euler-Lagrange (E-L) equation and a first integral of it. A special interest is focused in the connection between this first integral and the boundary conditions. We are interested in