Abstract

We study mappings differentiable almost everywhere, possessing the N-Luzin property, the N?1-property on the spheres with respect to the (n ? 1)-dimensional Hausdorff measure and such that the image of the set where its Jacobian equals to zero has a zero Lebesgue measure. It is proved that such mappings satisfy the lower bound for the Poletsky-type distortion in their definition domain.

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