L{sup {infinity}} Variational Problems with Running Costs and Constraints
Journal Article
·
· Applied Mathematics and Optimization
- Linkoeping University, Department of Mathematics (Sweden)
Various approaches are used to derive the Aronsson-Euler equations for L{sup {infinity}} calculus of variations problems with constraints. The problems considered involve holonomic, nonholonomic, isoperimetric, and isosupremic constraints on the minimizer. In addition, we derive the Aronsson-Euler equation for the basic L{sup {infinity}} problem with a running cost and then consider properties of an absolute minimizer. Many open problems are introduced for further study.
- OSTI ID:
- 22043813
- Journal Information:
- Applied Mathematics and Optimization, Vol. 65, Issue 1; Other Information: Copyright (c) 2012 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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