Email this article Extremal Problem for the Area of the Image of a Disk
- Authors: Salimov R.R.1, Klishchuk B.A.1
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Affiliations:
- Mathematical Institute of NASU
- Issue: Vol 234, No 3 (2018)
- Pages: 373-380
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241901
- DOI: https://doi.org/10.1007/s10958-018-4015-6
- ID: 241901
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Abstract
We study metric properties of ring Q-homeomorphisms with respect to the p-modulus, p > 2, in the complex plane and establish lower bounds for the areas of disks. An extremal problem concerning minimization of the area functional is also solved.
About the authors
R. R. Salimov
Mathematical Institute of NASU
Author for correspondence.
Email: ruslan.salimov1@gmail.com
Ukraine, Kiev
B. A. Klishchuk
Mathematical Institute of NASU
Email: ruslan.salimov1@gmail.com
Ukraine, Kiev
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