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Some Hardy Type Inequalities in R^n 被引量:1

Some Hardy Type Inequalities in R^n
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摘要 Some Hardy type inequalities on the ball and its complementary set in the Euclidean space are established by using the Picone type identity and constructing suitable auxiliary functions.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第3期322-325,共4页 数学季刊(英文版)
基金 Supported by the National Nature Science Foundation of China( 1037099)
关键词 Hardy inequality Picone identity 哈代不等式 Picone恒等式 辅助函数 欧几里得空间
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  • 1ALLEGRETTO W, HUANG Y X. A picone's identity for the p-Laplacian and applications[J]. Nonlinear Anal, 1998, 32: 819-830.
  • 2HARDY G H. Note on a theorem of Hilbert[J]. Math Zeit, 1920, 6: 314-317.
  • 3HARDY G H. An inequality between integrals[J]. Messenger of Math, 1925, 54: 150-156.
  • 4MARCUS M, MIZEL V J, PINCHOVER Y. On the best constant for Hardy's inequality in R^n[J]. Trans AMS, 1998, 109: 3237-3255.
  • 5OPIC B, KUFNER A. Hardy-type Inequalities[M]. Longman: Pitman Research Notes in Math, 1990.
  • 6WANNEBO A. hardy inequalities[J]. Proc AMS, 1990, 109: 85-95.

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