Chinese Annals of Mathematics, Series B

, Volume 39, Issue 5, pp 917–932 | Cite as

Measure Estimates of Nodal Sets of Polyharmonic Functions

  • Long TianEmail author


This paper deals with the function u which satisfies △ku = 0, where k ≥ 2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and shows some growth property of u.


Polyharmonic function Nodal set Frequency Measure estimate Growth property 

2000 MR Subject Classification

58E10 53C50 


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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsNanjing University of Science and TechnologyNanjingChina

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