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BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS

Part of: Geometric function theory Two-dimensional theory

Published online by Cambridge University Press:  09 September 2019

MANAS RANJAN MOHAPATRA Open the ORCID record for MANAS RANJAN MOHAPATRA [Opens in a new window] ,
XIANTAO WANG Open the ORCID record for XIANTAO WANG [Opens in a new window]  and
JIAN-FENG ZHU Open the ORCID record for JIAN-FENG ZHU [Opens in a new window]
MANAS RANJAN MOHAPATRA
Affiliation:
Department of Mathematics, Shantou University, Shantou, 515063, PR China email manas@stu.edu.cn
XIANTAO WANG*
Affiliation:
MOE-LCSM and School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, 410081, PR China Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, PR China email xtwang@hunnu.edu.cn
JIAN-FENG ZHU
Affiliation:
Department of Mathematics, Shantou University, Shantou, 515063, PR China School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, PR China email flandy@hqu.edu.cn
*
✉xtwang@hunnu.edu.cn
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Abstract

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We establish a boundary Schwarz lemma for solutions to nonhomogeneous biharmonic equations.

Keywords

boundary Schwarz lemmasolutionnonhomogeneous biharmonic equation

MSC classification

Primary: 30C80: Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination
Secondary: 31A30: Biharmonic, polyharmonic functions and equations, Poisson's equation
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 3 , December 2019 , pp. 470 - 478
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

Footnotes

The research was partly supported by NSF of China (Nos. 11571216, 11671127 and 11720101003) and STU SRFT. The third author was supported by NSF of Fujian Province (No. 2016J01020) and the Promotion Program for Young and Middle-aged Teachers in Science and Technology Research of Huaqiao University (ZQN-PY402).

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