Rellich type inequalities related to Grushin type operator and Greiner type operator

作     者：SHEN Shou-feng JIN Yong-yang 

作者机构：Department of Applied MathematicsZhejiang University of TechnologyHangzhou 310032China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2012年第27卷第3期

页      面：353-362页

核心收录：

学科分类：080706[工学-化工过程机械] 07[理学] 08[工学] 0807[工学-动力工程及工程热物理] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation(NSF) of China (11001240) NSF of Zhejiang Province(Y6090359) 

主　　题：Rellich inequality Hardy inequality Grushin type operator Greiner type operator. 

摘      要：We prove some sharp Hardy inequality associated with the gradient △γ=（△x,｜x｜γ [x△y） by a direct and simple approach. Moreover, similar method is applied to ob- tain some weighted sharp Rellich inequality related to the Grushin operator in the setting of L^p. We also get some weighted Hardy and Rellich type inequalities related to a class of Greiner type operators.