{"title":"Existence of one weak solution for a Steklov problem involving the weighted $p(\\cdot)$-Laplacian","authors":"","doi":"10.23952/jnfa.2023.8","DOIUrl":null,"url":null,"abstract":". In this study, we investigate the existence of at least one weak solution for a nonlinear Steklov boundary-value problem involving weighted p ( · ) -Laplacian. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this study, we investigate the existence of at least one weak solution for a nonlinear Steklov boundary-value problem involving weighted p ( · ) -Laplacian. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given
期刊介绍:
Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.