Afanas'eva O. Boundary behavior of mappings with finite distortion

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U001994

Thesis Registration Form

0412U001994.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

30-03-2012

Specialized Academic Board

К 11.193.02

Essay

It is investigated the problem of boundary behavior of the ring and lower Q-homeomorphisms in metric spaces and on Riemannian manifolds. It is obtained a criteria about continuous or homeomorphic extension of the given mappings to the boundary. On smooth n-dimensional Riemannian manifolds, it is established that the lower Q-homeomorphisms are the ring Q- homeomorphisms, the homeomorphisms f with finite distortion of the Orlich-Sobolev classes under a condition of the Calderon type and, in particular, the Sobolev classes are lower Q-homeomorphisms where Q is equal to the outer dilatation of f.

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Files

disertacija130212.pdf

автореферат210212.pdf

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