A. Pratelli

activity

20122026

collaborators

Showing 2015Show all

3 papers · 1 filter

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.OC2015

Regularity of isoperimetric sets in $R^{2}$ with density

Eleonora Cinti, Aldo Pratelli

We consider the isoperimetric problem in $R^{n}$ with density for the planar case $n = 2$ . We show that, if the density is $C^{0, α}$ , then the boundary of any isoperimetr…

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

Regularity of isoperimetric sets in R2 with density

Diffeomorphic Approximation of W1,1 Planar Sobolev Homeomorphisms

Regularity of isoperimetric sets in $R^{2}$ with density

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