Articles

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

  • Feng DU ,
  • Chuanxi WU ,
  • Guanghan LI ,
  • Changyu XIA
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  • 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 date: 2014-01-08

  Revised date: 2017-05-02

  Online 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.

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(17)30089-9

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