Hardy-sobolev interpolation inequalities

被引：0
|
作者：
Dietze, Charlotte [1 ]
Nam, Phan Thanh [1 ]
机构：
[1] Ludwig Maximilians Univ Munchen, Dept Math, Theresienstr 39, D-80333 Munich, Germany
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 07期
关键词：
35A23; 35Q55; SPACES;
D O I：
10.1007/s00526-024-02800-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities
    Tzirakis, Konstantinos
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (12) : 4513 - 4539
  • [2] 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
  • [3] Sharp Hardy-Sobolev inequalities
    Filippas, S
    Maz'ya, VG
    Tertikas, A
    [J]. COMPTES RENDUS MATHEMATIQUE, 2004, 339 (07) : 483 - 486
  • [4] Hardy-Sobolev inequalities in a cone
    Nazarov A.I.
    [J]. Journal of Mathematical Sciences, 2006, 132 (4) : 419 - 427
  • [5] Critical Hardy-Sobolev inequalities
    Filippas, S.
    Maz'ya, V.
    Terfikas, A.
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (01): : 37 - 56
  • [6] Abstract Hardy-Sobolev spaces and interpolation
    Badr, Nadine
    Bernicot, Frederic
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (05) : 1169 - 1208
  • [7] Hardy-Sobolev Inequalities with Dunkl Weights
    Anh Dao Nguyen
    Duy Nguyen Tuan
    Nguyen Lam Hoang
    Van Phong Nguyen
    [J]. ACTA MATHEMATICA VIETNAMICA, 2023, 48 (01) : 133 - 149
  • [8] Missing terms in Hardy-Sobolev inequalities
    Detalla, A
    Horiuchi, T
    Ando, H
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2004, 80 (08) : 160 - 165
  • [9] On the best constant of Hardy-Sobolev inequalities
    Adimurthi
    Filippas, Stathis
    Tertikas, Achilles
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (08) : 2826 - 2833
  • [10] Remarks on inequalities of Hardy-Sobolev Type
    Ying-Xiong Xiao
    [J]. Journal of Inequalities and Applications, 2011
12345