%0 Journal Article
%T 具有加权测度的H型群上漂移Laplace算子的Levitin-Parnovski型特征值不等式<br>LEVITIN-PARNOVSKI-TYPE INEQUALITY FOR EIGENVALUES OF THE DRIFTING LAPLACIAN ON THE H-TYPE GROUP WITH THE WEIGHTED MEASURE
%A 作者
%A 韩承月
%A 孙和军
%A 江绪永
%J 数学杂志
%D 2018
%X 本文研究了具有加权测度dμ=e-φdv的H型群G上漂移Laplace算子-△G+<▽Gφ，▽G（·）>的Dirichlet特征值问题，建立了该问题的Levitin-Parnovski型特征值不等式，推广包含了Ilias和Makhoul对Heisenberg群上次Laplace算子所获得的结果（J.Geom.Anal.，2012，22（1）：206-222）.<br>In this paper, we study the Dirichlet eigenvalue problem of the drifting Laplacian -△G + <▽Gφ, ▽G (·)> on the H-type group G with the weighted measured dμ=e-φdv. We establish a Levitin-Parnovski universal inequality for eigenvalues of this problem, which generalize the result derived by Ilias and Makhoul for the Kohn Laplacian on the Heisenberg group (J. Geom. Anal., 2012, 22(1):206-222)
%K H型群 特征值 漂移Laplace算子&lt
%K br&gt
%K H-type group eigenvalue drifting Laplacian
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180511&flag=1