Capacity of a Condenser in the Heisenberg Group

被引：0
|
作者：
Gamara, Najoua [1 ,2 ]
Makni, Akram [2 ]
机构：
[1] Taibah Univ, Coll Sci, Medina, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 05期
关键词：
Kohn-Laplace operator; Capacity of a condenser; First eigenvalue; Green's function; Heisenberg group; HYPERSURFACES; EIGENVALUES;
D O I：
10.1007/s40840-018-0628-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give new estimates on the capacity of a condenser in the first Heisenberg group. As an application, we establish new lower and upper bounds for the first eigenvalue of the Kohn-Laplace operator for a regular bounded open domain of the Heisenberg group.
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页码：2739 / 2757
页数：19
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