期刊论文

Chen, SL

英文

Indagationes Mathematicae

0019-3577

2023

34

6

1271-1302

10.1016/j.indag.2023.05.001

The author would like to thank the referee for many valuable suggestions. This research was partly supported by the Hunan Provincial Natural Science Foundation of China (No. 2022JJ10001 ), the National Science Foundation of China (grant no. 12071116 ), the Key Projects of Hunan Provincial Department of Education (grant no. 21A0429 ); the Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469 ), the Science and Technology Plan Project of Hunan Province ( 2016TP1020 ), and the Discipline Special Research Projects of Hengyang Normal University ( XKZX21002 ).

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Suppose that f satisfies the following: (1) the polyharmonic equation triangle(m) f = triangle(triangle(m-1) f ) = phi(m) (phi(m) is an element of C((B-n) over bar, R-n)), (2) the boundary conditions triangle(0) f = phi(0), triangle(1) f = phi 1, ..., triangle(m-1) f = phi(m-1 )on Sn-1 (phi (j) is an element of C(Sn-1, R-n) for j is an element of {0, 1, ... , m - 1} and Sn-1 denotes the boundary of the unit ball B-n), and (3) f (0) = 0, where n >= 3 and m >= 1 are integers. Initially, we prove a Schwarz type lemma and use it to obtain a Heinz type inequality of mappings satisfying the polyharm...