In the one dimensional case, the results of Chapter 3, can be improved a great deal. The classical methods of the calculus of variations give some important qualitative properties. Moreover, the regularity results are at the same time easier to obtain and more general.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
(2008). The one dimensional case. In: Direct Methods in the Calculus of Variations. Applied Mathematical Sciences, vol 78. Springer, New York, NY. https://doi.org/10.1007/978-0-387-55249-1_4
Download citation
DOI: https://doi.org/10.1007/978-0-387-55249-1_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-35779-9
Online ISBN: 978-0-387-55249-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)