UNIVERSAL INEQUALITIES FOR EIGENVALUES OF A SYSTEM OF SUB-ELLIPTIC EQUATIONS ON HEISENBERG GROUP

被引：5

作者：

Du, Feng ^{[1
]}

Wu, Chuanxi ^{[2
]}

Li, Guanghan ^{[3
]}

Xia, Changyu ^{[4
]}

机构：

[1] Jingchu Univ Technol, Sch Math & Phys Sci, Jingmen 448000, Peoples R China

[2] Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[4] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 02期

关键词：

eigenvalues; universal inequalities; Heisenberg group; SCHRODINGER-OPERATORS; RIEMANNIAN-MANIFOLDS; BIHARMONIC OPERATOR; TRACE IDENTITIES; BUCKLING PROBLEM; ARBITRARY ORDER; BOUNDS; LAPLACIAN; COMMUTATORS;

D O I：

10.2996/kmj/1436403899

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the eigenvalue problem of a system of sub-elliptic equations on abounded domain in the Heisenberg group and obtain some universal inequalities. Moreover, for the lower order eigenvalues of this eigenvalue problem, we also give some universal inequalities.

引用

页码：437 / 450

页数：14

共 28 条

[1]

Ashbaugh M. S., 1999, London Math. Soc. Lecture Note Ser., V273, P95

[2] On eigenvalues of a system of elliptic equations and of the biharmonic operator [J].

Chen, Daguang ;

Cheng, Qing-Ming ;

Wang, Qiaoling ;

Xia, Changyu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) :1146-1159

[3] Bounds on eigenvalues of Dirichlet Laplacian [J].

Cheng, Qing-Ming ;

Yang, Hongcang .

MATHEMATISCHE ANNALEN, 2007, 337 (01) :159-175

[4] Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces [J].

Cheng, Qing-Ming ;

Yang, Hongcang .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2006, 58 (02) :545-561

[5] Estimates for eigenvalues on Riemannian manifolds [J].

Cheng, Qing-Ming ;

Yang, Hongcang .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (08) :2270-2281

[6] Universal inequalities for eigenvalues of a system of elliptic equations [J].

Cheng, Qing-Ming ;

Yang, Hong-Cang .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 :273-285

[7] Inequalities for eigenvalues of a clamped plate problem [J].

Cheng, QM ;

Yang, HC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (06) :2625-2635

[8] Estimates on eigenvalues of Laplacian [J].

Cheng, QM ;

Yang, HC .

MATHEMATISCHE ANNALEN, 2005, 331 (02) :445-460

[9]

DEVERDIERE YC, 1987, ANN SCI ECOLE NORM S, V20, P599

[10] Estimates for eigenvalues of the bi-drifting Laplacian operator [J].

Du, Feng ;

Wu, Chuanxi ;

Li, Guanghan ;

Xia, Changyu .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (03) :703-726

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