A. Pratelli

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20122020

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math.CA2015

On the piecewise approximation of bi-Lipschitz curves

Aldo Pratelli, Emanuela Radici

In this paper we deal with the task of uniformly approximating an $L$ -biLipschitz curve by means of piecewise linear ones. This is rather simple if one is satisfied to have approxi…

math.CA2015

Diffeomorphic Approximation of $W^{1, 1}$ Planar Sobolev Homeomorphisms

Stanislav Hencl, Aldo Pratelli

Let $Ω \subseteq R^{2}$ be a domain and let $f \in W^{1, 1} (Ω, R^{2})$ be a homeomorphism (between $Ω$ and $f (Ω)$ ). Then there exists a sequence of smooth diffeomorphisms $f…

On the piecewise approximation of bi-Lipschitz curves

Diffeomorphic Approximation of W1,1 Planar Sobolev Homeomorphisms

Diffeomorphic Approximation of $W^{1, 1}$ Planar Sobolev Homeomorphisms