{"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":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"16 1","pages":""},"PeriodicalIF":0.6000,"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\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2330016\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2330016","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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...
期刊介绍：
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.
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