A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities

被引：0
|
作者：
Giuseppina di Blasio
Giovanni Pisante
Georgios Psaradakis
机构：
[1] Università degli Studi della Campania “L. Vanvitelli”,Dipartimento di Matematica e Fisica
[2] WIM-Universität Mannheim B6 28,Lehrstuhl für Mathematik IV
来源：
Mathematische Annalen | 2021年 / 379卷
关键词：
53C60; 58J60; 26D10; 46E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function F. Starting from this type of inequalities we prove some refined Hardy-type inequalities.
引用
收藏
页码：1343 / 1362
页数：19
相关论文
共 50 条
  • [21] ON THE BEST CONSTANT FOR A WEIGHTED SOBOLEV-HARDY INEQUALITY
    CHOU, KS
    CHU, CW
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1993, 48 : 137 - 151
  • [22] Weighted inequality of hardy type
    Bilal, Sh.
    Kalibekova, A.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2015, 80 (04): : 19 - 27
  • [23] Weighted inequality of Hardy type
    Bilal, Sherali
    Shalginbayeva, Saltanat Kh.
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
  • [24] A Hardy-Type Inequality and Its Applications
    Dubinskii, Yu. A.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 269 (01) : 106 - 126
  • [25] Hardy-Sobolev inequality in H1(Ω) and its applications
    Adimurthi
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2002, 4 (03) : 409 - 434
  • [26] A Hardy-type inequality and its applications
    Yu. A. Dubinskii
    Proceedings of the Steklov Institute of Mathematics, 2010, 269 : 106 - 126
  • [27] ANISOTROPIC LOGARITHMIC SOBOLEV INEQUALITY WITH A GAUSSIAN WEIGHT AND ITS APPLICATIONS
    Feo, Filomena
    Paderni, Gabriella
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
  • [28] Weighted Hardy-Type Inequalities on Time Scales with Applications
    S. H. Saker
    R. R. Mahmoud
    A. Peterson
    Mediterranean Journal of Mathematics, 2016, 13 : 585 - 606
  • [29] Weighted Hardy-Type Inequalities on Time Scales with Applications
    Saker, S. H.
    Mahmoud, R. R.
    Peterson, A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (02) : 585 - 606
  • [30] Remarks on inequalities of Hardy-Sobolev Type
    Ying-Xiong Xiao
    Journal of Inequalities and Applications, 2011
12345