{"title":"Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields","authors":"Junqiang Han","doi":"10.4208/jpde.v35.n4.1","DOIUrl":null,"url":null,"abstract":". The purpose of this paper is to investigate the nonexistence of positive solutions of the following doubly nonlinear degenerate parabolic equations: where Ω is a Carnot-Carath´eodory metric ball in R 2 n + 1 generated by Greiner vector fields, V ∈ L 1 loc ( Ω ) , k ∈ N , m ∈ R , 1 < p < 2 n + 2 k and m + p − 2 > 0. The better lower bound p ∗ for m + p is found and the nonexistence results are proved for p ∗ 6 m + p < 3.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jpde.v35.n4.1","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
. The purpose of this paper is to investigate the nonexistence of positive solutions of the following doubly nonlinear degenerate parabolic equations: where Ω is a Carnot-Carath´eodory metric ball in R 2 n + 1 generated by Greiner vector fields, V ∈ L 1 loc ( Ω ) , k ∈ N , m ∈ R , 1 < p < 2 n + 2 k and m + p − 2 > 0. The better lower bound p ∗ for m + p is found and the nonexistence results are proved for p ∗ 6 m + p < 3.