Kovtonyuk D. Hypermoduli in the theory space mappings with finite distortion

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000875

Thesis Registration Form

0406U000875.pdf

Applicant for

Kovtonyuk Denis Alexandrovich

Specialization

01.01.01 - Математичний аналіз

Date of defense

22-02-2006

Specialized Academic Board

К 11.193.02

Essay

The thesis is devoted to theory of space mappings with finite distortion of area. It is shown that mappings in Rn with finite distortion of area in all dimensions k=1,...,n-1 satisfy certain modulus inequalities in terms of inner and outer dilatations of the mappings and, in particular, it is proved generalizations of the well-known Poletskii inequality for quasiregular mappings. The lower estimates makes possible to investigate the boundary behavior of homeomorphisms with finite area distortion and, in particular, finitely bi-Lipschitz homeomorphisms between quasi-extremal distance domains by Gehring-Martio.

Thesis supervisor

Ryazanov Vladimir Ilich

Official opponents

Міклюков Володимир Михайлович
Волчков Віталій Володимирович

Files

Aref.doc

DIS.pdf

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