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Regularity of the inverse of spatial mappings with finite distortion

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References

  1. Astala, K., Iwaniec, T., Martin, G. J., Onninen, J.: Extremal mappings of finite distortion. Proc. London Math. Soc., to appear

  2. Evans, L.C., Gariepy, R.F.: Measure theory and fine properties of functions. Studies in Advanced Mathematics. CRC Press (1992)

  3. Federer, H.: Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, Band 153 Springer-Verlag, New York (1969)

    Google Scholar 

  4. Hencl, S., Koskela, P.: Regularity of the inverse of a planar Sobolev homeomorphism. Preprint

  5. Iwaniec, T., Martin, G.J.: Geometric Function Theory and Non-linear Analysis. Oxford Mathematical Monographs (2001)

  6. Koskela, P., Malý, J. Mappings of finite distortion: the zero set of the Jacobian. J. Eur. Math. Soc. (JEMS) 5(2), 95–105 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  7. Koskela, P., Onninen, J.: Mappings of finite distortion: Capacity and modulus inequalities. Reine Angew. Math., to appear

  8. Martio, O., Rickman, S., Väisälä, J.: Definitions for quasiregular mappings. Ann. Acad. Sci. Fenn. Ser. A I Math. 448, 1–40 (1969)

    Google Scholar 

  9. Müller, S., Qi, T., Yan, B.S.: On a new class of elastic deformations not allowing for cavitation. Ann. Inst. H. Poincar Anal. Non Linaire 11(2) 217–243 (1994)

    MATH  Google Scholar 

  10. Rickman, S.: Quasiregular mappings. Springer-Verlag, Berlin (1993)

    MATH  Google Scholar 

  11. Šverák, V.: Regularity properties of deformations with finite energy. Arch. Rational Mech. Anal. 100(2), 105–127 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  12. Tang, Q.: Almost-everywhere injectivity in nonlinear elasticity. Proc. Roy. Soc. Edinburgh Sect. A 109(1–2), 79–95 (1988)

    MathSciNet  MATH  Google Scholar 

  13. Väisälä, J.: Two new characterizations for quasiconformality. Ann. Acad. Sci. Fenn. Ser. A I No. 362, 1–12 (1965)

    Google Scholar 

  14. Väisälä, J.: Lectures on n-dimensional quasiconformal mappings. Lecture Notes in Mathematics, Vol. 229. Springer-Verlag, Berlin-New York (1971)

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Authors and Affiliations

  1. Department of Mathematics, Syracuse University, 215 Carnegie Hall, Syracuse, NY, 13244-1150, USA

    Jani Onninen

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  1. Jani Onninen
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Correspondence to Jani Onninen.

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Mathematics Subject Classification (2000) Primary 30C60, Secondary 35J15, 35J70

The author was supported by the National Science Foundation grant DMS-0400611.

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Onninen, J. Regularity of the inverse of spatial mappings with finite distortion. Calc. Var. 26, 331–341 (2006). https://doi.org/10.1007/s00526-006-0009-1

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