Functions of Bounded Variation and Caccioppoli Sets

  • Enrico Giusti
Part of the Monographs in Mathematics book series (MMA, volume 80)


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.


Bounded Variation Sobolev Inequality Radon Measure Essential Variation Finite Perimeter 
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© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

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