双相泛函单调sobolev函数的边界极限

Pub Date : 2020-10-01 DOI:10.18910/77232

Y. Mizuta, T. Shimomura

{"title":"双相泛函单调sobolev函数的边界极限","authors":"Y. Mizuta, T. Shimomura","doi":"10.18910/77232","DOIUrl":null,"url":null,"abstract":"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].","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"BOUNDARY LIMITS OF MONOTONE SOBOLEV FUNCTIONS FOR DOUBLE PHASE FUNCTIONALS\",\"authors\":\"Y. Mizuta, T. Shimomura\",\"doi\":\"10.18910/77232\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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].\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/77232\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/77232","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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

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].