Ball-Evans approximation problem: recent progress and open problems
Functional Analysis
2025-02-04 v1
Abstract
In this paper we give a short overview about the Ball-Evans approximation problem, i.e. about the approximation of Sobolev homeomorphism by a sequence of diffeomorphisms (or piecewise affine homeomorphisms) and we recall the motivation for this problem. We show some recent planar results and counterexamples in higher dimension and we give a number of open problems connected to this problem and related fields.
Keywords
Cite
@article{arxiv.2502.01336,
title = {Ball-Evans approximation problem: recent progress and open problems},
author = {Stanislav Hencl},
journal= {arXiv preprint arXiv:2502.01336},
year = {2025}
}