{"title":"涉及邓克尔拉普拉斯算子的半线性不等式的柳维尔式结果","authors":"Mohamed Jleli, Bessem Samet, Calogero Vetro","doi":"10.1080/17476933.2024.2384485","DOIUrl":null,"url":null,"abstract":"Let Δk be the Dunkl generalized Laplacian operator associated to a root system R of RN and a nonnegative multiplicity function k defined on R and invariant by the finite reflection group W. In this...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"19 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator\",\"authors\":\"Mohamed Jleli, Bessem Samet, Calogero Vetro\",\"doi\":\"10.1080/17476933.2024.2384485\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let Δk be the Dunkl generalized Laplacian operator associated to a root system R of RN and a nonnegative multiplicity function k defined on R and invariant by the finite reflection group W. In this...\",\"PeriodicalId\":51229,\"journal\":{\"name\":\"Complex Variables and Elliptic Equations\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Variables and Elliptic Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/17476933.2024.2384485\",\"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":"Complex Variables and Elliptic Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/17476933.2024.2384485","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
让 Δk 是与 RN 的根系 R 和定义在 R 上且通过有限反射群 W 不变的非负乘法函数 k 相关联的 Dunkl 广义拉普拉斯算子。
Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator
Let Δk be the Dunkl generalized Laplacian operator associated to a root system R of RN and a nonnegative multiplicity function k defined on R and invariant by the finite reflection group W. In this...
期刊介绍：
Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds.
The Journal was formally published as Complex Variables Theory and Application.
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