Abstract
In this chapter we establish some further important properties of the reduced boundary ∂*E. We show first that ∂*E may be written, up to a set of |D ϕE |-measure zero, as a countable union of C1 hypersurfaces [DG2].
Keywords
- Measure Zero
- Hausdorff Measure
- Countable Union
- Lipschitz Continuous Function
- Dimensional Hausdorff Measure
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© 1984 Springer Science+Business Media New York
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Giusti, E. (1984). Regularity of the Reduced Boundary. 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_4
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DOI: https://doi.org/10.1007/978-1-4684-9486-0_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3153-6
Online ISBN: 978-1-4684-9486-0
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