Weighted Hardy inequality with higher dimensional singularity on the boundary

被引：14

作者：

Fall, Mouhamed Moustapha ^{[1
]}

Mahmoudi, Fethi ^{[2
]}

机构：

[1] African Inst Math Sci Senegal, AIMS Senegal KM 2, Mbour, Senegal

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 3-4期

关键词：

SEMILINEAR ELLIPTIC-EQUATIONS;

D O I：

10.1007/s00526-013-0655-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a smooth bounded domain in with and let be a closed smooth submanifold of of dimension . In this paper we study the weighted Hardy inequality with weight function singular on . In particular we provide necessary and sufficient conditions for existence of minimizers.

引用

页码：779 / 798

页数：20

共 50 条

[1] Weighted Hardy inequality with higher dimensional singularity on the boundary
Mouhamed Moustapha Fall
Fethi Mahmoudi
Calculus of Variations and Partial Differential Equations, 2014, 50 : 779 - 798
[2] A critical problem on the Hardy-Sobolev inequality in boundary singularity case
Hashizume, Masato
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 160 : 70 - 78
[3] MINIMIZING PROBLEMS FOR THE HARDY-SOBOLEV TYPE INEQUALITY WITH THE SINGULARITY ON THE BOUNDARY
Lin, Chang-Shou
Wadade, Hidemitsu
TOHOKU MATHEMATICAL JOURNAL, 2012, 64 (01) : 79 - 103
[4] WEIGHTED HARDY INEQUALITY
STEPANOV, VD
SIBERIAN MATHEMATICAL JOURNAL, 1987, 28 (03) : 515 - 517
[5] Weighted inequality of hardy type
Bilal, Sh.
Kalibekova, A.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2015, 80 (04): : 19 - 27
[6] Weighted inequality of Hardy type
Bilal, Sherali
Shalginbayeva, Saltanat Kh.
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[7] A weighted differential hardy inequality on
Abylaeva, A. M.
Baiarystanov, A. O.
Oinarov, R.
SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (03) : 387 - 401
[8] HARDY-SOBOLEV INEQUALITY WITH SINGULARITY A CURVE
Fall, Mouhamed Moustapha
Thiam, El Hadji Abdoulaye
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2018, 51 (01) : 151 - 181
[9] ON THE WEIGHTED HARDY TYPE INEQUALITY IN A FIXED DOMAIN FOR FUNCTIONS VANISHING ON THE PART OF THE BOUNDARY
Koroleva, Yu. O.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03): : 543 - 553
[10] Weighted Hardy inequality on Riemannian manifolds
Thiam, El Hadji Abdoulaye
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (06)

← 1 2 3 4 5 →