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SEMINARS
Closedness of Sobolev capacity under weak convergence
时间  Datetime
2019-10-17 14:00 — 15:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Anastasia Molchanova
单位  Affiliation
University of Vienna
邀请人  Host
Sergei Kalmykov
报告摘要  Abstract

In the talk we discuss some properties of Quasiextremal distance domains and Sobolev capacity domains. In particular, we consider a sequence of Sobolev homeomorphisms y_n, whose images y_n(D) are M-Quasiextremal distance (Sobolev capacity) domains. We show that, under some additional constraints on distortion coefficients, if y_n weakly converges to a homeomorphism y, then y(D) is also an M-Quasiextremal distance (M-Sobolev capacity) domain.