Abstract
In this chapter we introduce the notions of functions of bounded variation and Caccioppoli sets. We derive some important properties which will be of use in later chapters and towards the end of this chapter we obtain an existence theorem for minimal sets.
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© 1984 Springer Science+Business Media New York
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Giusti, E. (1984). Functions of Bounded Variation and Caccioppoli Sets. In: Minimal Surfaces and Functions of Bounded Variation. Monographs in Mathematics, vol 80. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9486-0_1
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DOI: https://doi.org/10.1007/978-1-4684-9486-0_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3153-6
Online ISBN: 978-1-4684-9486-0
eBook Packages: Springer Book Archive