On the boundary and global behavior of mappings of Riemannian surfaces

Author:

Sevost’yanov Evgeny1

Affiliation:

1. Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine + Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Slov’yans’k, Ukraine

Abstract

In this article, we study non-homeomorphic mappings of Riemannian surfaces of the Sobolev class. We have established estimates for the distortion of the modulus of families of paths, and as a consequence, we obtained results on the boundary behavior of such mappings between domains of Riemannian surfaces.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference33 articles.

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2. J. Väisälä, Lectures on n-Dimensional Quasiconformal Mappings. Lecture Notes in Math., 229, Springer-Verlag, Berlin etc., 1971.

3. U. Srebro, Conformal capacity and quasiregular mappings, Ann. Acad. Sci. Fenn. Ser. A I. Math. 529 (1973) 1-8.

4. M. Vuorinen, Exceptional sets and boundary behavior of quasiregular mappings in n-space, Ann. Acad. Sci. Fenn. Ser. A 1. Math. Dissertationes 11 (1976) 1-44.

5. O. Martio, V. Ryazanov, U. Srebro, E. Yakubov, On Q-homeomorphisms, Ann. Acad. Sci. Fenn. Math. 30:1 (2005) 49-69.

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