{"title":"渐近p-线性边值问题的比较原理及其应用","authors":"D. D. Hai","doi":"10.18910/57658","DOIUrl":null,"url":null,"abstract":"without requiring that f g a.e. in. Here denotes the outer unit normal vector on . It should be noted that the assumptions f g and f ¥ g in are needed in previous literature (see e.g. [9] and the references therei n). We also provide an application to the existence of positive solutions for a class of sin gular p-Laplacian boundary value problems with asymptoticallyp-linear nonlinearity. Let d(x) D d(x, ) be the distance fromx to , we prove the following result:","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":"52 1","pages":"393-408"},"PeriodicalIF":0.5000,"publicationDate":"2015-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"A COMPARISON PRINCIPLE AND APPLICATIONS TO ASYMPTOTICALLY p-LINEAR BOUNDARY VALUE PROBLEMS\",\"authors\":\"D. D. Hai\",\"doi\":\"10.18910/57658\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"without requiring that f g a.e. in. Here denotes the outer unit normal vector on . It should be noted that the assumptions f g and f ¥ g in are needed in previous literature (see e.g. [9] and the references therei n). We also provide an application to the existence of positive solutions for a class of sin gular p-Laplacian boundary value problems with asymptoticallyp-linear nonlinearity. Let d(x) D d(x, ) be the distance fromx to , we prove the following result:\",\"PeriodicalId\":54660,\"journal\":{\"name\":\"Osaka Journal of Mathematics\",\"volume\":\"52 1\",\"pages\":\"393-408\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2015-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Osaka Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18910/57658\",\"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":"Osaka Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18910/57658","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
A COMPARISON PRINCIPLE AND APPLICATIONS TO ASYMPTOTICALLY p-LINEAR BOUNDARY VALUE PROBLEMS
without requiring that f g a.e. in. Here denotes the outer unit normal vector on . It should be noted that the assumptions f g and f ¥ g in are needed in previous literature (see e.g. [9] and the references therei n). We also provide an application to the existence of positive solutions for a class of sin gular p-Laplacian boundary value problems with asymptoticallyp-linear nonlinearity. Let d(x) D d(x, ) be the distance fromx to , we prove the following result:
期刊介绍：
Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.
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