On the global behavior of solutions of the Beltrami equations
Ruslan Salimov, Mariia Stefanchuk
TL;DR
This paper investigates how solutions to the Beltrami equation behave at infinity, establishing growth estimates based on the dilatation quotient's finite mean oscillation.
Contribution
It provides new growth estimates for solutions of the Beltrami equation under conditions of finite mean oscillation of the dilatation quotient.
Findings
Established growth bounds for solutions at infinity
Linked solution behavior to dilatation quotient oscillation
Extended understanding of Beltrami equation solutions
Abstract
In this paper, the estimate for growth of homeomorphic solutions of the Beltrami equation at infinity is obtained, provided that the dilatation quotient has a global finite mean oscillation.
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Taxonomy
TopicsMeromorphic and Entire Functions · Nonlinear Differential Equations Analysis · Advanced Differential Equations and Dynamical Systems