A. Molchanova:

"Failure of injectivity for limits of Sobolev homeomorphisms";

Talk: CNA Seminar, Carnegie Melon University, Pittsburgh, USA; 2020-02-11.

In this talk we construct a strong limit of Sobolev homeomorphisms with p ≤ n − 1 in such a way that the preimage of a point is a continuum for every point in a set of positive measure in the image. Then we provide a mapping such that a topological image of a point is a continuum for every point in a set of positive measure in the domain. For Sobolev exponent p > n−1 we instead show that weak limits of Sobolev homeomorphisms are injective almost everywhere both in the image and in the domain.

This talk is based on joint work with Ondrej Bouchala and Stanislav Hencl.

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