Hardy–Sobolev-type inequalities with monomial weights

被引:0
|
作者
Hernán Castro
机构
[1] Universidad de Talca,Instituto de Matemática y Física
来源
Annali di Matematica Pura ed Applicata (1923 -) | 2017年 / 196卷
关键词
Weighted sobolev inequality; Caffarelli–Kohn–Nirenberg inequality; Hardy inequality; Monomial weights; 26D10; 35A25; 46E35;
D O I
暂无
中图分类号
学科分类号
摘要
We give an elementary proof of a family of Hardy–Sobolev-type inequalities with monomial weights. As a corollary, we obtain a weighted trace inequality related to the fractional Laplacian.
引用
收藏
页码:579 / 598
页数:19
相关论文
共 50 条
  • [1] Hardy-Sobolev-type inequalities with monomial weights
    Castro, Hernan
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (02) : 579 - 598
  • [2] Extremals for Hardy-Sobolev type inequalities with monomial weights
    Castro, Hernan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 494 (02)
  • [3] p-Bessel Pairs, Hardy’s Identities and Inequalities and Hardy–Sobolev Inequalities with Monomial Weights
    Nguyen Tuan Duy
    Nguyen Lam
    Guozhen Lu
    The Journal of Geometric Analysis, 2022, 32
  • [4] p-Bessel Pairs, Hardy's Identities and Inequalities and Hardy-Sobolev Inequalities with Monomial Weights
    Nguyen Tuan Duy
    Lam, Nguyen
    Lu, Guozhen
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (04)
  • [5] Sobolev and isoperimetric inequalities with monomial weights
    Cabre, Xavier
    Ros-Oton, Xavier
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (11) : 4312 - 4336
  • [6] Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights
    Wang, Jianxiong
    POTENTIAL ANALYSIS, 2023, 58 (02) : 225 - 240
  • [7] Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights
    Jianxiong Wang
    Potential Analysis, 2023, 58 : 225 - 240
  • [8] Hardy-Sobolev Inequalities with Dunkl Weights
    Anh Dao Nguyen
    Duy Nguyen Tuan
    Nguyen Lam Hoang
    Van Phong Nguyen
    ACTA MATHEMATICA VIETNAMICA, 2023, 48 (01) : 133 - 149
  • [9] Hardy-Sobolev Inequalities with Dunkl Weights
    Dao Nguyen Anh
    Nguyen Tuan Duy
    Lam Hoang Nguyen
    Nguyen Van Phong
    Acta Mathematica Vietnamica, 2023, 48 : 133 - 149
  • [10] Remarks on inequalities of Hardy-Sobolev Type
    Ying-Xiong Xiao
    Journal of Inequalities and Applications, 2011