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一类退化椭圆算子的强Hardy型不等式及应用 被引量：3

Sharp Hardy Type Inequalities for a Class of Degenerate Subelliptic Operator and Applications
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摘要 推广、改进欧氏空间中思想,得到广义Baouendi-Grushin算子的一类强Hardy不等式,进一步建立了一类Hardy-Sobolev型不等式。作为应用,讨论了一类p次退化椭圆Baouendi-Grushin算子的正定性与下无界性,并给出一个正解。 A class of sharp Hardy type inequality for generalized Baouendi-Grushin operators is presented by improving the methods of the Euclid space. Then,a class of Hardy-Sobolev type inequality is established by its results. As applications,the positive property and the unbounded property from below for p- degenerate subelliptic operator are discussed.
作者 王胜军 窦井波
机构地区 青海师范大学数学与信息科学系 西安财经学院统计学院
出处 《广西师范大学学报（自然科学版）》 CAS 北大核心 2010年第1期18-22,共5页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10802061)
关键词 广义Baouendi—Grushin算子 正则化 强Hardy型不等式 Hardy—Sobolev型不等式 generalized Baouendi-Grushin operators regularization sharp Hardy type inequality Hardy- Sobolev type inequality
分类号 O175.2 [理学—基础数学]
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共引文献20

同被引文献33

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广西师范大学学报（自然科学版）
2010年 第1期

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