双相泛函单调sobolev函数的边界极限

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2020-10-01 DOI:10.18910/77232

Y. Mizuta, T. Shimomura

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引用次数: 1

摘要

本文的目的是研究Rn的单位球b中双相函数Φp，q（x，t）=tp+（b（x）t）q的单调Sobolev函数的边界极限，其中1本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

BOUNDARY LIMITS OF MONOTONE SOBOLEV FUNCTIONS FOR DOUBLE PHASE FUNCTIONALS

Our aim in this paper is to deal with boundary limits of monotone Sobolev functions for the double phase functional Φp,q(x, t) = t p + (b(x)t)q in the unit ball B of Rn, where 1 < p < q < ∞ and b(·) is a non-negative bounded function on B which is Hölder continuous of order θ ∈ (0, 1].

来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.