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Vortragende Person/Vortragende Personen:
Dr. Anastasia Molchanova (University of Vienna)

The class of Sobolev homeomorphisms is naturally appearing in geometric function theory, calculus of variations, and continuum mechanics. In this talk, we discuss properties of mappings desirable from both modelling and analytical view-points, such as continuity, injectivity, Lusin's (N)- and (N-1)-conditions, and (INV)-condition. We will consider challenges for limits of homeomorphisms to satisfy the mentioned properties and how to breach these obstacles.