Orlicz空间中一类具有梯度约束的非线性不等式

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2020-10-10 DOI:10.2478/mjpaa-2020-0022

S. Ajagjal, D. Meskine

{"title":"Orlicz空间中一类具有梯度约束的非线性不等式","authors":"S. Ajagjal, D. Meskine","doi":"10.2478/mjpaa-2020-0022","DOIUrl":null,"url":null,"abstract":"Abstract In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz spaces, g is a nonlinearity and f ∈ L1.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":"6 1","pages":"281 - 302"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some class of nonlinear inequalities with gradient constraints in Orlicz spaces\",\"authors\":\"S. Ajagjal, D. Meskine\",\"doi\":\"10.2478/mjpaa-2020-0022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz spaces, g is a nonlinearity and f ∈ L1.\",\"PeriodicalId\":36270,\"journal\":{\"name\":\"Moroccan Journal of Pure and Applied Analysis\",\"volume\":\"6 1\",\"pages\":\"281 - 302\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moroccan Journal of Pure and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/mjpaa-2020-0022\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moroccan Journal of Pure and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/mjpaa-2020-0022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 1

摘要

摘要本文证明了一些形式为〈Au+g（x，u，Şu），v−u〉≥〈f，v−u〉的非线性不等式的解的存在性，这些不等式具有依赖于解本身的梯度约束，其中A是Orlicz空间上定义的Leray Lions算子，g是非线性的，f∈L1。

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

Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

Abstract In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz spaces, g is a nonlinearity and f ∈ L1.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks