{"title":"非凸泛函的向量极小化子的局部有界性","authors":"G. Cupini, M. Focardi, F. Leonetti, E. Mascolo","doi":"10.6092/ISSN.2240-2829/8942","DOIUrl":null,"url":null,"abstract":"We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under slightly stronger assumptions on the energy density.","PeriodicalId":41199,"journal":{"name":"Bruno Pini Mathematical Analysis Seminar","volume":"9 1","pages":"20-40"},"PeriodicalIF":0.2000,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"LOCAL BOUNDEDNESS OF VECTORIAL MINIMIZERS OF NON-CONVEX FUNCTIONALS\",\"authors\":\"G. Cupini, M. Focardi, F. Leonetti, E. Mascolo\",\"doi\":\"10.6092/ISSN.2240-2829/8942\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under slightly stronger assumptions on the energy density.\",\"PeriodicalId\":41199,\"journal\":{\"name\":\"Bruno Pini Mathematical Analysis Seminar\",\"volume\":\"9 1\",\"pages\":\"20-40\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2018-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bruno Pini Mathematical Analysis Seminar\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.2240-2829/8942\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bruno Pini Mathematical Analysis Seminar","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.2240-2829/8942","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
LOCAL BOUNDEDNESS OF VECTORIAL MINIMIZERS OF NON-CONVEX FUNCTIONALS
We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under slightly stronger assumptions on the energy density.