Boundary growth of Sobolev functions of monotone type for double phase functionals

被引：6

作者：

Mizuta, Yoshihiro ^{[1
]}

Shimomura, Tetsu ^{[2
]}

机构：

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

[2] Hiroshima Univ, Grad Sch Humanitas & Social Sci, Dept Math, Higashihiroshima 7398521, Japan

来源：

ANNALES FENNICI MATHEMATICI | 2022年 / 47卷 / 01期

关键词：

Monotone Sobolev functions; spherical mean; double phase functional; REGULARITY; LIMITS;

D O I：

10.54330/afm.112452

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim in this paper is to deal with boundary growth of spherical means of Sobolev functions of monotone type for the double phase functional Phi(p,q)(x, t) = t(p)+(b(x)t)(q) in the unit ball B of R-n, where 1 < p < q < infinity and b(.) is a non-negative bounded function on B which is Holder continuous of order theta is an element of (0, 1].

引用

页码：23 / 37

页数：15

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