数学杂志2023，Vol.43Issue(5)：409-421,13.
Engle群上次Laplace算子的特征值不等式
INEQUALITIES FOR EIGENVALUES OF THE SUB-LAPLCAIN ON THE ENGEL GROUP
摘要
Abstract
The Engel groups are one important kind of simply connected nilpotent Lie groups in sub-Riemannian geometry.In this paper,we investigate the Dirichlet eigenvalue problem of the sub-Laplacian △E on a bounded domain Ω of the Engel group E=(R4,o,{δλ})as follows{(-△E)3u=λu,in Ω, ?2u 0 ?Ωu=?u/?v=?2u/?v2=0,on ?Ω,where v is the outwards unit normal vector field of ?Ω.We establish some universal inequalities for eigenvalues of this problem.关键词
特征值/不等式/Engel群/次拉普拉斯算子Key words
eigenvalue/inequality/Engel group/sub-Laplacian分类
数理科学引用本文复制引用
白晨,孙和军..Engle群上次Laplace算子的特征值不等式[J].数学杂志,2023,43(5):409-421,13.基金项目
Supported by National Natural Science Foundation of China(11001130) （11001130）
Fun-damental Research Funds for the Central Universities(30917011335). （30917011335）
