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Search options not deleted user 100976

This tag is used if a reference is needed in a paper or textbook on a specific result.

7 votes
1 answer
489 views

Anisotropic perimeter and regularity of anisotropic minimal surfaces

1. Introduction. By-now classical results assert that minimal surfaces (in $\mathbb R^n$) are generically "smooth" out of a "small" set. Question. What are the known regularity results for anis …
Romeo's user avatar
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2 votes
1 answer
284 views

Regularity of the reparametrization map between curves [closed]

I am looking for a reference for the following kind of results. Let $\Gamma$ be the space of Lipschitz curves $\text{Lip}([0,1]; \mathbb R^d)$ equipped with the sup norm. Let $B$ be a Borel subset of …
Romeo's user avatar
  • 980
3 votes

Alberti rank one theorem and a blow-up argument

The answer to your questions 1. & 2. can be found in Theorem 3.95 of the book Ambrosio, Fusco, Pallara Functions of Bounded Variation and Free Discontinuity Problems. Another very recent and excellen …
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