{"title":"banach -空间值Finsler γ-Laplacian的改进可微性","authors":"Max Goering, Lukas Koch","doi":"10.5802/crmath.474","DOIUrl":null,"url":null,"abstract":"We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler γ-Laplacian defined on a σ-convex, τ-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the ℝ-valued setting.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on improved differentiability for the Banach-space valued Finsler γ-Laplacian\",\"authors\":\"Max Goering, Lukas Koch\",\"doi\":\"10.5802/crmath.474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler γ-Laplacian defined on a σ-convex, τ-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the ℝ-valued setting.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/crmath.474\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/crmath.474","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on improved differentiability for the Banach-space valued Finsler γ-Laplacian
We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler γ-Laplacian defined on a σ-convex, τ-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the ℝ-valued setting.
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