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Results tagged with geometric-measure-theory
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user 147652
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
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Is the $W^{1, \infty}$ limit of differentiable functions also differentiable?
It suffices to assume $f’_n-g\overset{L^1}{\to}0$.
Consider large $N$ such that $||f’_n-g||_{L^1}<\infty~(\forall n\ge N)$,
put $h_n=f_n-f_N$ and $h=f-f_N$. We have that $h_n\overset{unif}{\to}h$ and …
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