{"title":"具有（p，q）-Laplacian算子的一个传输问题","authors":"Maria Colombo, Sunghan Kim, H. Shahgholian","doi":"10.1080/03605302.2023.2175216","DOIUrl":null,"url":null,"abstract":"Abstract In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional We prove that minimizers exist, are Hölder regular and verify in a weak sense. We also prove that their free boundary is a.e. with respect to the measure whose support is of σ-finite -dimensional Hausdorff measure.","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A transmission problem with (p, q)-Laplacian\",\"authors\":\"Maria Colombo, Sunghan Kim, H. Shahgholian\",\"doi\":\"10.1080/03605302.2023.2175216\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional We prove that minimizers exist, are Hölder regular and verify in a weak sense. We also prove that their free boundary is a.e. with respect to the measure whose support is of σ-finite -dimensional Hausdorff measure.\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2021-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/03605302.2023.2175216\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03605302.2023.2175216","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Abstract In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional We prove that minimizers exist, are Hölder regular and verify in a weak sense. We also prove that their free boundary is a.e. with respect to the measure whose support is of σ-finite -dimensional Hausdorff measure.
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