Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva
{"title":"与格罗斯-皮塔耶夫斯基方程有关的椭圆系统半节点解的存在性","authors":"Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva","doi":"10.58997/ejde.2024.32","DOIUrl":null,"url":null,"abstract":"In this work we consider existence of semi-nodal solutions, i.e., solutions of the form \\((u, v)\\) with \\(u>0\\) and \\(v^\\pm:=\\max\\{0,\\pm v\\}\\not\\equiv0\\) for a class of elliptic systems related to the Gross-Pitaevskii equation. \nFor more information see https://ejde.math.txstate.edu/Volumes/2024/32/abstr.html","PeriodicalId":0,"journal":{"name":"","volume":"49 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of semi-nodal solutions for elliptic systems related to Gross-Pitaevskii equations\",\"authors\":\"Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva\",\"doi\":\"10.58997/ejde.2024.32\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we consider existence of semi-nodal solutions, i.e., solutions of the form \\\\((u, v)\\\\) with \\\\(u>0\\\\) and \\\\(v^\\\\pm:=\\\\max\\\\{0,\\\\pm v\\\\}\\\\not\\\\equiv0\\\\) for a class of elliptic systems related to the Gross-Pitaevskii equation. \\nFor more information see https://ejde.math.txstate.edu/Volumes/2024/32/abstr.html\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":\"49 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2024.32\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2024.32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence of semi-nodal solutions for elliptic systems related to Gross-Pitaevskii equations
In this work we consider existence of semi-nodal solutions, i.e., solutions of the form \((u, v)\) with \(u>0\) and \(v^\pm:=\max\{0,\pm v\}\not\equiv0\) for a class of elliptic systems related to the Gross-Pitaevskii equation.
For more information see https://ejde.math.txstate.edu/Volumes/2024/32/abstr.html