Regularity of the inverse of a Sobolev homeomorphism in space

Author:

Hencl Stanislav,Koskela Pekka,Malý Jan

Abstract

Let Ω ⊂ Rn be open. Given a homeomorphism of finite distortion with |Df| in the Lorentz space Ln−1, 1 (Ω), we show that and f−1 has finite distortion. A class of counterexamples demonstrating sharpness of the results is constructed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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