| Issue |
ESAIM: COCV
Volume 27, 2021
|
|
|---|---|---|
| Article Number | 90 | |
| Number of page(s) | 35 | |
| DOI | https://doi.org/10.1051/cocv/2021080 | |
| Published online | 26 August 2021 | |
Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces
1
Department of Mathematics, University of Hradec Králové,
Rokitanského 62,
500 03
Hradec Králové, Czech Republic.
2
Faculty of Economics, University of South Bohemia,
Studentská 13,
Ceské Budejovice, Czech Republic.
3
Dipartimento di Ingegneria Elettrica e delle Tecnologie dell’Informazione, Università degli Studi di Napoli “Federico II”,
Via Claudio 21,
80125
Napoli, Italy.
4
Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”,
Via Cintia,
80126
Napoli, Italy.
5
Department of Mathematics and Didactic of Mathematics, Faculty of Science, Humanities and Education, Technical University of Liberec,
Studentská 1402/2,
461 17
Liberec, Czechia.
* Corresponding author: daniel.campbell@uhk.cz
Received:
11
May
2020
Accepted:
9
July
2021
Let Ω ⊆ ℝ2 be a domain, let X be a rearrangement invariant space and let f ∈ W1 X (Ω, ℝ2) be a homeomorphism between Ω and f(Ω). Then there exists a sequence of diffeomorphisms fk converging to f in the space W1X (Ω, ℝ2).
Mathematics Subject Classification: 46E35
Key words: Homeomorphic approximation / non-linear elasticity / rearrangement invariant spaces
© The authors. Published by EDP Sciences, SMAI 2021
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