{"title":"Regularity results for Hölder minimizers to functionals with non-standard growth","authors":"Antonio Giuseppe Grimaldi, Erica Ipocoana","doi":"10.1002/mana.202300412","DOIUrl":null,"url":null,"abstract":"<p>We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying <span></span><math>\n <semantics>\n <mrow>\n <mo>(</mo>\n <mi>p</mi>\n <mo>,</mo>\n <mi>q</mi>\n <mo>)</mo>\n </mrow>\n <annotation>$(p,q)$</annotation>\n </semantics></math>-growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.</p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 8","pages":"3143-3164"},"PeriodicalIF":0.8000,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300412","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the regularity properties of Hölder continuous minimizers to non-autonomous functionals satisfying -growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.
期刊介绍：
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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