{"title":"论 p 拉普拉斯方程正解的存在性","authors":"Tiantian Zhou","doi":"10.2989/16073606.2024.2330016","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the existence of positive solutions of an equation with p-Laplacianwhere n ≥ 3, 1 < p < n, q > 0, Δp u = div(|∇u|p−2∇u), and K(x) is a double bounded function. We will pr...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On existence of positive solutions of p-Laplace equations\",\"authors\":\"Tiantian Zhou\",\"doi\":\"10.2989/16073606.2024.2330016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the existence of positive solutions of an equation with p-Laplacianwhere n ≥ 3, 1 < p < n, q > 0, Δp u = div(|∇u|p−2∇u), and K(x) is a double bounded function. We will pr...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2330016\",\"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":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2330016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们考虑了一个方程的正解的存在性,该方程具有 p-拉普拉斯,其中 n ≥ 3, 1 < p < n, q > 0, Δp u = div(|∇u|p-2∇u), K(x) 是一个双界函数。我们将对 K(x) 进行...
On existence of positive solutions of p-Laplace equations
In this paper, we consider the existence of positive solutions of an equation with p-Laplacianwhere n ≥ 3, 1 < p < n, q > 0, Δp u = div(|∇u|p−2∇u), and K(x) is a double bounded function. We will pr...