Differentiability in the Sobolev space W1,n-1
Tengvall, V. (2014). Differentiability in the Sobolev space W1,n-1. Calculus of variations and partial differential equations, 51(1-2), 381-399. https://doi.org/10.1007/s00526-013-0679-4
Julkaistu sarjassa
Calculus of variations and partial differential equationsTekijät
Päivämäärä
2014Tekijänoikeudet
© Springer-Verlag Berlin Heidelberg 2013. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
Let Ω ⊂ Rn be a domain, n ≥ 2. We show that a continuous, open and
discrete mapping f ∈ W1,n−1
loc (Ω, Rn
) with integrable inner distortion is differentiable
almost everywhere on Ω. As a corollary we get that the branch set of such a mapping
has measure zero.
Julkaisija
SpringerISSN Hae Julkaisufoorumista
0944-2669Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/23809293
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