TY - JOUR
T1 - Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications
AU - Huiqing Zhang , Pengcheng Niu  & Xuebo Luo 
JO - Journal of Partial Differential Equations
VL - 3
SP - 220
EP - 234
PY - 2001
DA - 2001/08
SN - 14
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5481.html
KW - Fundamental solution
KW - mean value theorem
KW - Hardy type inequality
KW - Pohozaev type identity
KW - nonexistence
KW - unique continuation
AB -  In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed.