球表面一类半正子系统正径向解的唯一性

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-03-11 DOI:10.4236/AM.2021.123009

A. Mohamed, Khalid Ahmed Abbakar, Abuzar Awad, Omer Khalil, Bechir Mahamat Acyl, Abdoulaye Ali Youssouf, M. Mousa

{"title":"球表面一类半正子系统正径向解的唯一性","authors":"A. Mohamed, Khalid Ahmed Abbakar, Abuzar Awad, Omer Khalil, Bechir Mahamat Acyl, Abdoulaye Ali Youssouf, M. Mousa","doi":"10.4236/AM.2021.123009","DOIUrl":null,"url":null,"abstract":"In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP: \n \n , where Δu = div (∇u) and Δv = div (∇v) are the Laplacian of u, λ is a positive parameter, Ω = {x ∈ Rn : N > 2, |x| > r0, r0 > 0}, let i = [1,2] then Ki :[r0,∞] → (0,∞) is a continuous function such that limr→∞ ki(r) = 0 and is The external natural derivative, and : [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) fi > 0, b) fi fi = 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.","PeriodicalId":55568,"journal":{"name":"Applied Mathematics-A Journal of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Uniqueness of Positive Radial Solutions for a Class of Semipositone Systems on the Exterior of a Ball\",\"authors\":\"A. Mohamed, Khalid Ahmed Abbakar, Abuzar Awad, Omer Khalil, Bechir Mahamat Acyl, Abdoulaye Ali Youssouf, M. Mousa\",\"doi\":\"10.4236/AM.2021.123009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP: \\n \\n , where Δu = div (∇u) and Δv = div (∇v) are the Laplacian of u, λ is a positive parameter, Ω = {x ∈ Rn : N > 2, |x| > r0, r0 > 0}, let i = [1,2] then Ki :[r0,∞] → (0,∞) is a continuous function such that limr→∞ ki(r) = 0 and is The external natural derivative, and : [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) fi > 0, b) fi fi = 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.\",\"PeriodicalId\":55568,\"journal\":{\"name\":\"Applied Mathematics-A Journal of Chinese Universities Series B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2021-03-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics-A Journal of Chinese Universities Series B\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4236/AM.2021.123009\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-A Journal of Chinese Universities Series B","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4236/AM.2021.123009","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在本文中,我们研究椭圆系统的正径向解非线性BVP:,Δu = div(∇u)和Δv = div(∇v)的拉普拉斯算子是u,λ是一个积极的参数,Ω= {x∈Rn: N > 2, x | | > r0, r0 > 0},让i =[1, 2]然后Ki: (r0,∞)→(0,∞)是一个连续函数,这样limr→∞Ki (r) = 0和外部自然的衍生品,和:[0,∞)→(0,∞)是一个连续函数。讨论了一类具有a) fi > 0, b) fi = 0的f的存在性和多重性结果。我们通过子解决方案方法建立我们的存在和多个结果。我们还讨论了一些独特的发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Uniqueness of Positive Radial Solutions for a Class of Semipositone Systems on the Exterior of a Ball

In this paper, we study the positive radial solutions for elliptic systems to the nonlinear BVP: , where Δu = div (∇u) and Δv = div (∇v) are the Laplacian of u, λ is a positive parameter, Ω = {x ∈ Rn : N > 2, |x| > r0, r0 > 0}, let i = [1,2] then Ki :[r0,∞] → (0,∞) is a continuous function such that limr→∞ ki(r) = 0 and is The external natural derivative, and : [0, ∞) → (0, ∞) is a continuous function. We discuss existence and multiplicity results for classes of f with a) fi > 0, b) fi fi = 0. We base our presence and multiple outcomes via the Sub-solutions method. We also discuss some unique findings.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.