摘要
研究一类双权退化椭圆算子的Hardy不等式,这类算子比广义Baouendi-Gruxhin算子L=△x+｜x｜2a△y(a>0,x∈Rn,y∈Rm)更为广泛.结果包含了已有文献中得到的不等式.
In this paper, we prove some Hardy type inequalities related to a class of degenerated elliptic operators with a double-weight. This class of operator is more extensive than the generalized Baouendi-Grushin operator. Thus the known results on generalized Baouendi-Grushin operators become particular cases here.
出处
《西南民族大学学报（自然科学版）》
CAS
2005年第5期669-673,共5页
Journal of Southwest Minzu University(Natural Science Edition)
基金
国家自然科学基金资助项目(10371099).
关键词
Hardy等式
向量场
退化椭圆算子
双权
Hardy inequality
vector filed
degenerated elliptic operator
double-weight
