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 f$$ converging to f in the space W1X (Ω, ℝ2).
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Keywords: Homeomorphic approximation, non-linear elasticity, rearrangement invariant spaces
@article{COCV_2021__27_1_A92_0,
author = {Campbell, Daniel and Greco, Luigi and Schiattarella, Roberta and Soudsk\'y, Filip},
title = {Diffeomorphic approximation of planar {Sobolev} homeomorphisms in rearrangement invariant spaces},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2021},
publisher = {EDP-Sciences},
volume = {27},
doi = {10.1051/cocv/2021080},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2021080/}
}
TY - JOUR AU - Campbell, Daniel AU - Greco, Luigi AU - Schiattarella, Roberta AU - Soudský, Filip TI - Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2021 VL - 27 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2021080/ DO - 10.1051/cocv/2021080 LA - en ID - COCV_2021__27_1_A92_0 ER -
%0 Journal Article %A Campbell, Daniel %A Greco, Luigi %A Schiattarella, Roberta %A Soudský, Filip %T Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces %J ESAIM: Control, Optimisation and Calculus of Variations %D 2021 %V 27 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/cocv/2021080/ %R 10.1051/cocv/2021080 %G en %F COCV_2021__27_1_A92_0
Campbell, Daniel; Greco, Luigi; Schiattarella, Roberta; Soudský, Filip. Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 27 (2021), article no. 90. doi: 10.1051/cocv/2021080
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