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

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Abstract.

We prove that mappings of bounded length distortion are local homeomorphisms if they have \(L^2\)-integrable weak second derivatives.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, , , , , , US

    Juha Heinonen

  2. Department of Mathematics, University of Jyväskylä, P.O. Box 35 (Mattilanniemi D), 40351 Jyväskylä, Finland (e-mail: terok@math.jyu.fi), , , , , , FI

    Tero Kilpeläinen

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  1. Juha Heinonen
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  2. Tero Kilpeläinen
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Received March 31, 1999 / Revised December 12, 1999 / Published online July 20, 2000

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Heinonen, J., Kilpeläinen, T. BLD-mappings in $W^{2,2}$ are locally invertible. Math Ann 318, 391–396 (2000). https://doi.org/10.1007/s002080000129

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  • DOI: https://doi.org/10.1007/s002080000129

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