H型群上一类散度形算子的特征值估计

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 467-475.

H型群上一类散度形算子的特征值估计

谭沈阳¹, 黄体仁², 刘大瑾¹

1 南京理工大学泰州科技学院基础部江苏泰州 225300;
2 浙江理工大学数学系杭州 310018

收稿日期:2016-05-31 修回日期:2017-07-26 出版日期:2018-06-26 发布日期:2018-06-26
通讯作者: 黄体仁 E-mail:htiren@zstu.edu.cn
作者简介:谭沈阳,E-mail:ystsy@163.com
基金资助:
国家自然科学基金（11401531）和江苏省高校自然科学基金（17KJD110004）

Estimates for Eigenvalues of the Operator in Divergence Form on H-Type Group

Tan Shenyang¹, Huang Tiren², Liu Dajin¹

1 Taizhou Institute of Sciences Technology, NUST, Jiangsu Taizhou 225300;
2 Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018

Received:2016-05-31 Revised:2017-07-26 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (11401531) and the Natural Science Foundation of the Jiangsu Higher Education Institutions (17KJD110004)

摘要/Abstract

摘要： 该文研究了H型群上散度形算子-div_G+〈▽_G，▽_Gψ〉+V的特征值问题.通过试验函数的方法得到了关于该算子特征值的第一杨型不等式，进而得到了第二杨型不等式.

关键词: H-型群, 特征值估计, 散度形算子

Abstract: In this paper, we investigate the eigenvalue problem of the operator in divergence form -div_G+〈▽_G,▽_Gψ〉+V on Heisenberg-type group. we obtain a first Yang-type inequality for eigenvalues of this problem. We also get second Yang type inequality.

Key words: Heisenberg-type group, Eigenvalue estimates, Divergence operator

中图分类号:

O186

谭沈阳, 黄体仁, 刘大瑾. H型群上一类散度形算子的特征值估计[J]. 数学物理学报, 2018, 38(3): 467-475.

Tan Shenyang, Huang Tiren, Liu Dajin. Estimates for Eigenvalues of the Operator in Divergence Form on H-Type Group[J]. Acta mathematica scientia,Series A, 2018, 38(3): 467-475.

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