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.

引用

页数：33

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