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- W2805220659 abstract "We find a counterexample to a conjecture of Ga{l}k{e}ski by constructing for some positive integers $m<n$ a mapping $fin C^1(mathbb{R}^n,mathbb{R}^n)$ satisfying $mathrm{rank}, Dfleq m$ that, even locally, cannot be uniformly approximated by $C^2$ mappings $f_varepsilon$ satisfying the same rank constraint $mathrm{rank}, Df_varepsilonleq m$." @default.
- W2805220659 created "2018-06-13" @default.
- W2805220659 creator A5005431760 @default.
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- W2805220659 date "2018-04-23" @default.
- W2805220659 modified "2023-09-27" @default.
- W2805220659 title "$C^1$ mappings in $mathbb{R}^5$ with derivative of rank at most $3$ cannot be uniformly approximated by $C^2$ mappings with derivative of rank at most 3" @default.
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