UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP

doi:10.1016/S0252-9602(17)30089-9

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1536-1544.doi: 10.1016/S0252-9602(17)30089-9

• 论文 • 上一篇

UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP

杜锋¹, 吴传喜², 李光汉³, 夏昌玉⁴

1. School of Mathematics and Physics Science, Jingchu University of Technology, Jingmen 448000, China;
2. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;
3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
4. Departamento de Matemática, Universidade de Brasilia, 70910-900-Brasilia-DF, Brazil

收稿日期:2014-01-08 修回日期:2017-05-02 出版日期:2017-10-25 发布日期:2017-10-25
作者简介:Feng DU,E-mail:defengdu123@163.com;Chuanxi WU,E-mail:cxwu@hubu.edu.cn;Guanghan LI,E-mail:liguanghan@163.com;Changyu XIA,E-mail:xia@mat.unb.br
基金资助:
This research was partially supported by the NSF of China (11171096, 11401131), NSF of Hubei Provincial Department of Education (Q20154301), and CNPq, Brazil.

UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP

Feng DU¹, Chuanxi WU², Guanghan LI³, Changyu XIA⁴

1. School of Mathematics and Physics Science, Jingchu University of Technology, Jingmen 448000, China;
2. Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China;
3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
4. Departamento de Matemática, Universidade de Brasilia, 70910-900-Brasilia-DF, Brazil

Received:2014-01-08 Revised:2017-05-02 Online:2017-10-25 Published:2017-10-25
Supported by:
This research was partially supported by the NSF of China (11171096, 11401131), NSF of Hubei Provincial Department of Education (Q20154301), and CNPq, Brazil.

摘要/Abstract

摘要：

In this paper, we investigate a horizontal Laplacian version of the clamped plate problem on Carnot groups and obtain some universal inequalities. Furthermore, for the lower order eigenvalues of this eigenvalue problem on carnot groups, we also give some universal inequalities.

关键词: eigenvalue, universal inequality, horizontal Laplacian, Carnot group

Abstract:

Key words: eigenvalue, universal inequality, horizontal Laplacian, Carnot group

杜锋, 吴传喜, 李光汉, 夏昌玉. UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP[J]. 数学物理学报(英文版), 2017, 37(5): 1536-1544.

Feng DU, Chuanxi WU, Guanghan LI, Changyu XIA. UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP[J]. Acta mathematica scientia,Series B, 2017, 37(5): 1536-1544.

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UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP

UNIVERSAL INEQUALITIES FOR A HORIZONTAL LAPLACIAN VERSION OF THE CLAMPED PLATE PROBLEM ON CARNOT GROUP

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