{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300412","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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.
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