L-infinity Variational Problems with Running Costs and Constraints
2012 (English)In: Applied mathematics and optimization, ISSN 0095-4616, E-ISSN 1432-0606, Vol. 65, no 1, 53-90 p.Article in journal (Refereed) Published
Various approaches are used to derive the Aronsson-Euler equations for L-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-infinity problem with a running cost and then consider properties of an absolute minimizer. Many open problems are introduced for further study.
Place, publisher, year, edition, pages
Springer Verlag (Germany) , 2012. Vol. 65, no 1, 53-90 p.
Calculus of variations in L-infinity; Constraints; Running cost; Aronsson-Euler equations
IdentifiersURN: urn:nbn:se:liu:diva-86566DOI: 10.1007/s00245-011-9151-zISI: 000300513300004OAI: oai:DiVA.org:liu-86566DiVA: diva2:579053