期刊论文

Chen, Shaolin

英文

Indagationes Mathematicae

0019-3577

2019

30

6

1087-1098

10.1016/j.indag.2019.08.004

We thank anonymous referees and Professor J. Wiegerinck for helping us simplify the proof of Theorems 1 and 4, respectively. This research was partly supported by the Hunan Provincial Education Department Outstanding Youth Project (No. 18B365), the Science and Technology Plan Project of Hengyang City, People's Republic of China (No. 2018 kJ125), the Science and Technology Plan Project of Hunan Province, People's Republic of China (No. 2016TP1020), the Science and Technology Plan Project of Hengyang City, People's Republic of China (No. 2017 kJ183), the Application-Oriented Characterized Disciplines, Double First-Class University Project of Hunan Province, People's Republic of China (Xiangjiaotong [2018]469), and the Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University, People's Republic of China (No. IIPA18K06). The work of the second author is supported in part by Mathematical Research Impact Centric Support (MATRICS) grant, File No.: MTR/2017/000367, by the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India.

本校为第一且通讯机构

For n >= 3, m >= 1 and a given continuous function g : Omega -> R-m, we establish some Schwarz type lemmas for mappings f of Omega into R-m satisfying the PDE: Delta f = g, where Omega is a subset of R-n. Then we apply these results to obtain a Landau type theorem. (C) 2019 Royal Dutch Mathematical Society (KWG). Publish...