Abstract
This chapter contains a relatively complete theory of higher-order integral variational functionals with one-dimensional immersed submanifolds the subjects of variations.
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Acknowledgments
The author is grateful to Professors Hernán Cendra and Demeter Krupka for collaboration and discussions during his stay at Universidad Nacional del Sur, Bahía Blanca, Argentina, where a substantial part of this material originated. He also acknowledges support from the Lepage Research Institute.
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Urban, Z. (2015). Variational Principles for Immersed Submanifolds. In: Zenkov, D. (eds) The Inverse Problem of the Calculus of Variations. Atlantis Studies in Variational Geometry, vol 2. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-109-3_4
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DOI: https://doi.org/10.2991/978-94-6239-109-3_4
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