The Reduced Boundary

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


Recalling that when considering functions in BV we are really considering equivalence classes of functions, we see that changing a function on a set of measure zero gives, as far as BV is concerned, the same function. In the same way when considering Caccioppoli sets the perimeter and other properties are unchanged if we make alterations of measure zero. In other words we are really concerned with equivalence classes of Caccioppoli sets.


Equivalence Class Hausdorff Dimension Measure Zero Isoperimetric Inequality Tangent Hyperplane 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

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