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Original article

BLD-mappings in $W^{2,2}$ are locally invertible

Juha Heinonen1 and Tero Kilpeläinen2

(1)  Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, US
(2)  Department of Mathematics, University of Jyväskylä, P.O. Box 35 (Mattilanniemi D), 40351 Jyväskylä, Finland (e-mail: terok@math.jyu.fi), FI
Abstract.   We prove that mappings of bounded length distortion are local homeomorphisms if they have -integrable weak second derivatives.
Received March 31, 1999 / Revised December 12, 1999 / Published online July 20, 2000

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Referenced by
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  1. Miklyukov, Vladimir Mikhaelovich (2006) On maps almost quasi-conformally close to quasi-isometries. Journal d Analyse Mathématique 100(1)
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