Next seminar on geometric analysis will take place on April 28

The seminar will be held on April 28 at 4:20 pm (UTC+7) in a mixed format: meetings are held in person in room 417 of the Sobolev Institute of Mathematics SB RAS, and they are broadcast on the Google Meet platform at https://meet.google.com/oyt-srqy-ovc.

Maxim V. Tryamkin will present his talk "Schwarz's lemma for mappings with weighted bounded distortion".

A class of mappings generalizing quasiregular mappings is considered. Each mapping fr om this class is defined on a domain of an n-dimensional Euclidean space and has the following properties: it is open, continuous, and discrete, locally belongs to the Sobolev class W1q, has a finite distortion and a nonnegative Jacobian, and its weighted (p,q)-distortion function is integrable to some extent depending on p and q, wh ere n-1<q≤p<∞. We obtain an analogue of the Schwarz lemma for such mappings provided that p≥n. The proof uses the spherical symmetrization procedure and the Grötsch condenser concept.

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