{"title":"Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group","authors":"A. Razani, G. Figueiredo","doi":"10.1080/01630563.2022.2163503","DOIUrl":null,"url":null,"abstract":"Abstract In this article, the degenerated horizontal (p, q)-Laplacian with weights and the competing horizontal (p, q)-Laplacian with weights including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where is a Carathéodory function, Ω is a bounded smooth domain in the Heisenberg group and stands for the horizontal p-Laplacian on The proofs are based on weighted Heisenberg Sobolev spaces, Nemytskij operators, Browder-Minty Theorem, and finite dimensional approximation.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/01630563.2022.2163503","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 3
Abstract
Abstract In this article, the degenerated horizontal (p, q)-Laplacian with weights and the competing horizontal (p, q)-Laplacian with weights including the Dirchlet boundary condition are studied. The existence and approximation results for these problems are studied where is a Carathéodory function, Ω is a bounded smooth domain in the Heisenberg group and stands for the horizontal p-Laplacian on The proofs are based on weighted Heisenberg Sobolev spaces, Nemytskij operators, Browder-Minty Theorem, and finite dimensional approximation.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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