{"title":"的弱解的保持连续性和高可积性。双相变指数椭圆方程。至关重要的增长","authors":"Dukman Ri, Sungil Kwon","doi":"10.1016/j.na.2025.113754","DOIUrl":null,"url":null,"abstract":"<div><div>We study a class of double phase elliptic equations with variable exponents and critical growth. In the present paper we establish the boundedness, Holder continuity and higher integrability of weak solutions for these equations. Our results partially generalize those obtained by Winkert and his collaborators (2023)</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"255 ","pages":"Article 113754"},"PeriodicalIF":1.3000,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Holder continuity and higher integrability of weak solutions to. double phase elliptic equations involving variable exponents and. critical growth\",\"authors\":\"Dukman Ri, Sungil Kwon\",\"doi\":\"10.1016/j.na.2025.113754\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study a class of double phase elliptic equations with variable exponents and critical growth. In the present paper we establish the boundedness, Holder continuity and higher integrability of weak solutions for these equations. Our results partially generalize those obtained by Winkert and his collaborators (2023)</div></div>\",\"PeriodicalId\":49749,\"journal\":{\"name\":\"Nonlinear Analysis-Theory Methods & Applications\",\"volume\":\"255 \",\"pages\":\"Article 113754\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Theory Methods & Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0362546X25000094\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Theory Methods & Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0362546X25000094","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Holder continuity and higher integrability of weak solutions to. double phase elliptic equations involving variable exponents and. critical growth
We study a class of double phase elliptic equations with variable exponents and critical growth. In the present paper we establish the boundedness, Holder continuity and higher integrability of weak solutions for these equations. Our results partially generalize those obtained by Winkert and his collaborators (2023)
期刊介绍:
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