{"title":"一类具有强奇异和线性项的非局部问题正解的存在性","authors":"A. Hou, Jia‐Feng Liao","doi":"10.7153/dea-2020-12-18","DOIUrl":null,"url":null,"abstract":". We consider a class of nonlocal problem with strong singularity and linear term. Com- bining with the variational method and Nehari manifold, a necessary and suf fi cient condition that shows the existence of positive solution is obtained.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Existence of positive solution for a class of nonlocal problem with strong singularity and linear term\",\"authors\":\"A. Hou, Jia‐Feng Liao\",\"doi\":\"10.7153/dea-2020-12-18\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We consider a class of nonlocal problem with strong singularity and linear term. Com- bining with the variational method and Nehari manifold, a necessary and suf fi cient condition that shows the existence of positive solution is obtained.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/dea-2020-12-18\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2020-12-18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Existence of positive solution for a class of nonlocal problem with strong singularity and linear term
. We consider a class of nonlocal problem with strong singularity and linear term. Com- bining with the variational method and Nehari manifold, a necessary and suf fi cient condition that shows the existence of positive solution is obtained.