Critical Hardy inequality on the half-space via the harmonic transplantation

被引：5
|
作者：
Sano, Megumi [1 ]
Takahashi, Futoshi [2 ]
机构：
[1] Hiroshima Univ, Sch Engn, Lab Math, Higashihiroshima 7398527, Japan
[2] Osaka Metropolitan Univ, Grad Sch Sci, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 61卷 / 04期
关键词：
EXTREMAL-FUNCTIONS; CONSTANT;
D O I：
10.1007/s00526-022-02265-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a critical Hardy inequality on the half-space R-+(N) by using the harmonic transplantation for functions in (W) over dot(0)(1,N) (R-+(N)). Also we give an improvement of the subcritical Hardy inequality on (W) over dot(0)(1,p) for p is an element of [2, N), which converges to the critical Hardy inequality when p NE arrow N. Sobolev type inequalities are also discussed.
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页数：33
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