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QUASICONFORMAL SOLUTIONS OF POISSON EQUATIONS

Published online by Cambridge University Press:  19 August 2015

PEIJIN LI*
Affiliation:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, PR China email wokeyi99@163.com
JIAOLONG CHEN
Affiliation:
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, PR China email jiaolongchen@sina.com
XIANTAO WANG
Affiliation:
Department of Mathematics, Shantou University, Shantou, Guangdong 515063, PR China email xtwang@stu.edu.cn
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Abstract

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The main aim of this paper is to establish the Lipschitz continuity of the $(K,K^{\prime })$-quasiconformal solutions of the Poisson equation ${\rm\Delta}w=g$ in the unit disk $\mathbb{D}$.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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