Bounds for the best constant in an improved Hardy-Sobolev inequality

被引：0
|
作者：
Chaudhuri, N [1 ]
机构：
[1] Australian Natl Univ, Ctr Math & Its Appl, Canberra, ACT 0200, Australia
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2003年 / 22卷 / 04期
关键词：
Hardy-Sobolev inequality; best constant in inequality;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we show that the best constant C in the improved Hardy-Sobolev inequality of Adimurthi, Chaudhuri and Ramaswamy [1] for 2 less than or equal to p < n is bounded by p-1/p(2) (n-p/p)(p-2) less than or equal to C less than or equal to p-1/2 (n-p/p) (p-2).
引用
收藏
页码：757 / 765
页数：9
相关论文
共 50 条
  • [41] Best constant in weighted Sobolev inequality
    Horiuchi, T
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1996, 72 (09) : 208 - 211
  • [42] The best constant in a fractional Hardy inequality
    Bogdan, Krzysztof
    Dyda, Bartlomiej
    [J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (5-6) : 629 - 638
  • [43] Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials
    Chern, Jann-Long
    Hashizume, Masato
    Hwang, Gyeongha
    [J]. APPLICABLE ANALYSIS, 2024, 103 (10) : 1831 - 1845
  • [44] Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
    Lu, Guozhen
    Zhu, Jiuyi
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2011, 42 (3-4) : 563 - 577
  • [45] Nonexistence of Positive Solutions for an Integral Equation Related to the Hardy-Sobolev Inequality
    Li, Dongyan
    Niu, Pengcheng
    Zhuo, Ran
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2014, 134 (01) : 185 - 200
  • [46] ON INEQUALITIES OF HARDY-SOBOLEV TYPE
    Balinsky, A.
    Evans, W. D.
    Hundertmark, D.
    Lewis, R. T.
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2008, 2 (02): : 94 - 106
  • [47] Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications
    Musina, Roberta
    Nazarov, Alexander, I
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 280 : 292 - 314
  • [48] Hardy-Sobolev spaces and their multipliers
    Cao GuangFu
    He Li
    [J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (11) : 2361 - 2368
  • [49] Nonexistence of Positive Solutions for an Integral Equation Related to the Hardy-Sobolev Inequality
    Dongyan Li
    Pengcheng Niu
    Ran Zhuo
    [J]. Acta Applicandae Mathematicae, 2014, 134 : 185 - 200
  • [50] Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality
    Villavert, John
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (05) : 1685 - 1714
12345