{"title":"The Existence and Multiplicity of Solutions for <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <mi>p</mi> <mfenced open=\"(\" close=\")\"> <mrow> <mi>x</mi> </mrow> </mfenced> </math>-Laplacian-Like Neumann Problems","authors":"Changmu Chu, Ying Tang","doi":"10.1155/2023/6692867","DOIUrl":null,"url":null,"abstract":"In the present paper, in view of the variational approach, we discuss the Neumann problems with <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <mi>p</mi> <mfenced open=\"(\" close=\")\"> <mrow> <mi>x</mi> </mrow> </mfenced> </math> -Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under suitable assumptions.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"18 1","pages":"0"},"PeriodicalIF":1.9000,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Function Spaces","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/6692867","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In the present paper, in view of the variational approach, we discuss the Neumann problems with -Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under suitable assumptions.
期刊介绍：
Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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