Approximation of Minimal Sets(II)

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


Our aim in this chapter is to prove a theorem similar to Lemma 6.4 but valid now for arbitrary Caccioppoli sets rather than just sets with C1-boundary. In order to prove the theorem we approximate with smooth sets and so need fairly detailed estimates of the approximations. Our first choice for C1-approximations would be the mollified functions introduced in Chapter 1.


Minimal Surface Bounded Variation Require Result Short Step Detailed Estimate 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

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