Advertisement

The Reduced Boundary

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

Abstract

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.

Keywords

Equivalence Class Hausdorff Dimension Measure Zero Isoperimetric Inequality Tangent Hyperplane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

There are no affiliations available

Personalised recommendations