Let ω R 2 be a domain, let X be a rearrangement invariant space and let f ? W1 X (ω, R 2) be a homeomorphism between ω and f(ω). Then there exists a sequence of diffeomorphisms fk converging to f in the space W1X (ω, R 2).
Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces / Campbell, D.; Greco, L.; Schiattarella, R.; Soudsky, F.. - In: ESAIM. COCV. - ISSN 1292-8119. - 27:(2021), p. 90. [10.1051/cocv/2021080]
Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces
Greco L.;Schiattarella R.;
2021
Abstract
Let ω R 2 be a domain, let X be a rearrangement invariant space and let f ? W1 X (ω, R 2) be a homeomorphism between ω and f(ω). Then there exists a sequence of diffeomorphisms fk converging to f in the space W1X (ω, R 2).File in questo prodotto:
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