The Dimension of the Singular Set

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


In the last chapter we proved a regularity theorem for dimensions n ≦ 7. However we said nothing about the regularity in higher dimensions which is our task in this chapter. We prove that the H k measure of the singular set is zero for all k > n − 8 and so actually include the results of the previous chapter.


Singular Point Minimal Surface Hausdorff Dimension Hausdorff Measure Previous Chapter 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

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