Abstract
The theory developed in this chapter is based on the concept of the integral
of a parametric integrand Ф of degree m over an m dimensional rectifiable current T defined in 5.1.1, on the concept of ellipticity defined in 5.1.2, and on the notions of minimizing current defined in 5.1.6. For example, a current S ∈ ℛ m(R n) is absolutely Ф minimizing with respect to R n if and only if
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© 1996 Springer-Verlag Berlin Heidelberg
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Federer, H. (1996). Applications to the calculus of variations. In: Eckmann, B., van der Waerden, B.L. (eds) Geometric Measure Theory. Classics in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-62010-2_6
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DOI: https://doi.org/10.1007/978-3-642-62010-2_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60656-7
Online ISBN: 978-3-642-62010-2
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