{"title":"On certain degenerate and singular elliptic PDEs IV: Nondivergence-form operators with logarithmic degeneracies or singularities","authors":"Diego Maldonado","doi":"10.1016/j.jde.2024.10.017","DOIUrl":null,"url":null,"abstract":"<div><div>Harnack inequalities for nonnegative strong solutions to nondivergence-form elliptic PDEs with degeneracies or singularities of logarithmic type are proved. The results are developed within the Monge-Ampère real-analytic and geometric tools associated to certain convex functions.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-10-22","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/S0022039624006673","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
Harnack inequalities for nonnegative strong solutions to nondivergence-form elliptic PDEs with degeneracies or singularities of logarithmic type are proved. The results are developed within the Monge-Ampère real-analytic and geometric tools associated to certain convex functions.
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
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