Ball-Evans approximation problem: recent progress and open problems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912217343983616 |
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| author | Hencl, Stanislav |
| author_facet | Hencl, Stanislav |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01336 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ball-Evans approximation problem: recent progress and open problems Hencl, Stanislav Functional Analysis 46E35 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. |
| title | Ball-Evans approximation problem: recent progress and open problems |
| topic | Functional Analysis 46E35 |
| url | https://arxiv.org/abs/2502.01336 |