TY - JOUR
T1 - A Hardy Type Inequality and Inde Nite Eigenvalue Problems on the Homogeneous Group
AU - Yazhou Han , Pengcheng Niu  & Xuebo Luo 
JO - Journal of Partial Differential Equations
VL - 4
SP - 28
EP - 38
PY - 2002
DA - 2002/11
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5459.html
KW - Hardy type inequality
KW - Picone type identity
KW - indefinite eigenvalue problem
KW - homogeneous group
AB -  In this paper we present a Hardy type inequality and a Picone type identity for the real sub-Laplacian on the homogeneous group. The existence of the indefinite eigenvalue problem and the simplicity of the principal eigenvalue are proved.