PLANAR HARMONIC MAPPINGS WITH A GIVEN JACOBIAN

The article is devoted to the study of the Jacobians of sense-preserving harmonic mappings in the unit disk of the complex plane. The main result is a criterion for an infinitely differentiable positive function to be a Jacobian of some sense-preserving harmonic mapping. The relationship between a...

Full description

Bibliographic Details
Main Authors: S. Yu. Graf, I. A. Nikitin
Format: Article
Language:English
Published: Petrozavodsk State University 2023-10-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=14110&lang=en