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Investigation of boundary behavior of mappings with finite distortion by the method of mapping theory


Work number - M 8 ALLOWED TO PARTICIPATE

Afanas'eva O.S.

The investigationis devoted to the study of mappings with finite distortion in metric spaces and on Riemannian manifolds.

It is showedthat many known regular domainsas smooth, Lipschitz, convex, quasiconvex, uniform, quasiextremal distance domainby Gering-Martio haveweakly flat boundariesand, thus, the developed theory can be applied to all mentioned domains.

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