{"title":"R^{N}中具有k_{i}-Hessian算子的方程和系统的存在性定理","authors":"Dragos-Patru Covei","doi":"10.18514/mmn.2023.4086","DOIUrl":null,"url":null,"abstract":". We establish the existence of positive radial entire solutions for nonlinear equations and systems. Our main results obtained with the use of the Schauder-Tychonov fixed point theorem will complete the works of Kusano-Swanson and Holanda.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":"105 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence theorems for equations and systems in R^{N} with k_{i}-Hessian operator\",\"authors\":\"Dragos-Patru Covei\",\"doi\":\"10.18514/mmn.2023.4086\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We establish the existence of positive radial entire solutions for nonlinear equations and systems. Our main results obtained with the use of the Schauder-Tychonov fixed point theorem will complete the works of Kusano-Swanson and Holanda.\",\"PeriodicalId\":51252,\"journal\":{\"name\":\"Miskolc Mathematical Notes\",\"volume\":\"105 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Miskolc Mathematical Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18514/mmn.2023.4086\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18514/mmn.2023.4086","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Existence theorems for equations and systems in R^{N} with k_{i}-Hessian operator
. We establish the existence of positive radial entire solutions for nonlinear equations and systems. Our main results obtained with the use of the Schauder-Tychonov fixed point theorem will complete the works of Kusano-Swanson and Holanda.
期刊介绍：
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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