Overview
- One-of-a-kind publication dedicated to the study of modulus inequalities
- Develops a modulus technique in the Euclidean space and some metric spaces
- Enhances reader understanding of local and boundary behavior of mappings
Part of the book series: Developments in Mathematics (DEVM, volume 78)
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Table of contents (18 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of mappings, as well as to obtaining modulus inequalities for some classes. The reader is invited to familiarize himself with all the main achievements of the author, synthesized in this book. The results presented here are of a high scientific level, are new and have no analogues in the world with such a degree of generality.
Authors and Affiliations
About the author
Evgeny Sevost’yanov is Head of Department of Mathematical Analysis, Business Analysis and Statistics at Zhytomyr Ivan Franko State University, Ukraine. His research interests include mapping theory and its applications to equations with partitional derivatives. The main results of E. Sevost’yanov concern the local and boundary behavior of mappings, mappings of metric spaces and Riemannian manifolds, quotient spaces and Riemannian surfaces. From 2002 up to now E. Sevost’yanov works as a researcher in Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine (located in Donetsk up to 2014, and in Slov’yans’k from 2014). From 2014 up to now E. Sevost’yanov works in Zhytomyr Ivan Franko State University, which belongs to the system of Ministry of Education and Science of Ukraine. Candidate of Physical and Mathematical Sciences (2006), Doctor of Physical and Mathematical Sciences (2013), Senior Researcher (2011).
Bibliographic Information
Book Title: Mappings with Direct and Inverse Poletsky Inequalities
Authors: Evgeny Sevost'yanov
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-031-45418-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-45417-2Published: 18 November 2023
Softcover ISBN: 978-3-031-45420-2Due: 20 December 2023
eBook ISBN: 978-3-031-45418-9Published: 18 November 2023
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XII, 433
Number of Illustrations: 37 b/w illustrations