{"title":"Steklov Neumann问题的p- laplace效应分析及数值结果","authors":"B. Al-Hamzah, Mohammed Al-Hawmi","doi":"10.54582/tsj.2.2.62","DOIUrl":null,"url":null,"abstract":"This paper explains how to obtain the existence and uniqueness of weak solutions for the weighted p-Laplacian boundary problem of Steklov and Neumann, relying on Browder’s theorem under conditions of the monotonous function f. The paper also discusses the behavior of the problems through the numerical results. Additionally, to illustrate the effectiveness of our approach, examples of both linear and nonlinear equations are presented.","PeriodicalId":155097,"journal":{"name":"المجلة العلمية - جامعة إقليم سبأ","volume":"61 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis and Numerical Results of p-Laplacian Effect on Steklov Neumann Problems\",\"authors\":\"B. Al-Hamzah, Mohammed Al-Hawmi\",\"doi\":\"10.54582/tsj.2.2.62\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper explains how to obtain the existence and uniqueness of weak solutions for the weighted p-Laplacian boundary problem of Steklov and Neumann, relying on Browder’s theorem under conditions of the monotonous function f. The paper also discusses the behavior of the problems through the numerical results. Additionally, to illustrate the effectiveness of our approach, examples of both linear and nonlinear equations are presented.\",\"PeriodicalId\":155097,\"journal\":{\"name\":\"المجلة العلمية - جامعة إقليم سبأ\",\"volume\":\"61 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"المجلة العلمية - جامعة إقليم سبأ\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54582/tsj.2.2.62\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"المجلة العلمية - جامعة إقليم سبأ","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54582/tsj.2.2.62","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis and Numerical Results of p-Laplacian Effect on Steklov Neumann Problems
This paper explains how to obtain the existence and uniqueness of weak solutions for the weighted p-Laplacian boundary problem of Steklov and Neumann, relying on Browder’s theorem under conditions of the monotonous function f. The paper also discusses the behavior of the problems through the numerical results. Additionally, to illustrate the effectiveness of our approach, examples of both linear and nonlinear equations are presented.