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Results tagged with geometric-measure-theory
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user 120665
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
12
votes
Accepted
If a function $f$ is $(1+\varepsilon)$-times Lebesgue differentiable everywhere, is $f$ a co...
I realise I'm bumping into you again and already gave you an answer elsewhere after you posted this, but I thought I'd post my answer here for others to see. The answer is yes, $f$ has to be constant …
- 700
6
votes
1
answer
313
views
Does approximately Fréchet differentiable imply approximately Gateaux differentiable?
In what follows, $\mu^n$ denotes $n$-dimensional Lebesgue measure, and $B_r(x)$ is the open ball with radius $r$ centered at $x$.
In elementary calculus, if we have a function $f : \mathbb{R}^n \righ …
- 700