Hardy-Sobolev inequalities for double phase functionals

被引：2

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

[1] Hiroshima Univ, Dept Math, Grad Sch Adv Sci & Engn, Higashihiroshima 7398521, Japan

[2] Hiroshima Univ, Dept Math, Grad Sch Humanities & Social Sci, Higashihiroshima 7398524, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2023年 / 52卷 / 02期

关键词：

Hardy-Sobolev inequality; double phase functionals; BOUNDARY-REGULARITY; MINIMIZERS;

D O I：

10.14492/hokmj/2021-544

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this note is to establish Hardy-Sobolev inequalities in Rn for double phase functionals 4)(x, t) = tp + (b(x)t)4, where 1 < p < q, b(& BULL;) is non-negative and Ho & BULL;lder continuous of order  E (0, 1]. The Sobolev functional of 4) is given by 4)*(x, t) = tp* + (b(x)t)4* , where p* and q* denote the Sobolev exponent of p and q, respectively, that is, 1/p* = 1/p - 1/n and 1/q* = 1/q - 1/n.

引用

页码：331 / 352

页数：22

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