{"title":"Liouville type problem for the steady p-Stokes system in the half-space","authors":"Kyungkeun Kang , Michael Růžička","doi":"10.1016/j.jde.2024.09.014","DOIUrl":null,"url":null,"abstract":"<div><p>We study the Liouville problem for the steady <em>p</em>-Stokes system in the half-space. We prove that a bounded weak solution of the <em>p</em>-Stokes system with <span><math><mi>p</mi><mo>></mo><mn>1</mn></math></span> vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that <span><math><mi>p</mi><mo>></mo><mfrac><mrow><mn>5</mn></mrow><mrow><mn>3</mn></mrow></mfrac></math></span>.</p></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002203962400593X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that .
期刊介绍：
The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools.
Research Areas Include:
• Mathematical control theory
• Ordinary differential equations
• Partial differential equations
• Stochastic differential equations
• Topological dynamics
• Related topics
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
