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Grushing型算子的广义Hardy不等式
Generalized Hardy Inequality of Grushin Type Operator
【摘要】 通过选取合适的检验函数,给出了与Grushin型向量场x1,…,xd,(1+α)|x|αy1,…,(1+α)|x|αyk有关的广义带权Hardy不等式及最佳常数,改进和推广了现有文献中的结果.
【Abstract】 By choosing appropriate test function,a generalized weighted Hardy inequality related to the Grushin type vector fields x1,…,xd,(1+α)|x|αy1,…,(1+α)|x|αyk including the sharp constant is established,which improves and extends the results obtained in previous literatures.
【关键词】 椭圆方程;
Grushin型算子;
Hardy不等式;
【Key words】 elliptic equation; Grushin type operator; Hardy inequality;
【Key words】 elliptic equation; Grushin type operator; Hardy inequality;
【基金】 国家自然科学基金资助项目(项目编号:10371099)
- 【文献出处】 昆明理工大学学报(理工版) ,Journal of Kunming University of Science and Technology(Science and Technology) , 编辑部邮箱 ,2006年03期
- 【分类号】O175.25
- 【下载频次】36