Year: 2014
Author: Jingjing Mu, Xingdi Chen
Journal of Mathematical Study, Vol. 47 (2014), Iss. 3 : pp. 295–304
Abstract
In this paper, we study solutions of the quasilinear differential equation $\bar{z}\partial_{\bar{z}}f(z)+z\partial_{z}f(z)+(1-|z|^2)\partial_{z}\partial_{\bar{z}}f(z)=f(z)$. We utilize harmonic mappings to obtain an explicit representation of solutions of this equation. By this result, we give two versions of Landau-type theorem under proper normalization conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v47n3.14.05
Journal of Mathematical Study, Vol. 47 (2014), Iss. 3 : pp. 295–304
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Harmonic mapping biharmonic mapping Landau's theorem quasilinear differential equation.