{"title":"p-k-Hessian 方程的非rivial p-k-convex 径向解的存在性和渐近行为","authors":"Meiqiang Feng, Yichen Lu","doi":"10.1007/s11005-024-01858-0","DOIUrl":null,"url":null,"abstract":"<div><p>We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial <i>p</i>-<i>k</i>-convex radial solutions for a <i>p</i>-<i>k</i>-Hessian equation. This is probably the first time that <i>p</i>-<i>k</i>-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 4","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations\",\"authors\":\"Meiqiang Feng, Yichen Lu\",\"doi\":\"10.1007/s11005-024-01858-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial <i>p</i>-<i>k</i>-convex radial solutions for a <i>p</i>-<i>k</i>-Hessian equation. This is probably the first time that <i>p</i>-<i>k</i>-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"114 4\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-024-01858-0\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-024-01858-0","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations
We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial p-k-convex radial solutions for a p-k-Hessian equation. This is probably the first time that p-k-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.