in this talk i will try to prove de giorgi’s theorem on the regularity of minimal caccioppoli sets(theorem 8.4). he used a measure theoretic method closely related to properties of function of bounded variation, which is technical and powerful. i will focus on chapter 5-8 in e. giusti’s book. it is based on m. miranda’s simplification of de giorgi’s original proof. this will be a continuation of the talk given on september 9th.