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Topological Methods in Nonlinear Analysis最新文献

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On a semilinear fourth order elliptic problem with asymmetric nonlinearity 一类具有非对称非线性的半线性四阶椭圆型问题
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI: 10.12775/tmna.2022.028
Fabiana Ferreira, E. Medeiros, Wallisom Rosa
{"title":"On a semilinear fourth order elliptic problem with asymmetric nonlinearity","authors":"Fabiana Ferreira, E. Medeiros, Wallisom Rosa","doi":"10.12775/tmna.2022.028","DOIUrl":"https://doi.org/10.12775/tmna.2022.028","url":null,"abstract":"In this work, we address the existence of solutions for a biharmonic elliptic equation \u0000with homogeneous Navier boundary condition. The problem is asymmetric and has linear behavior on $-infty$ and superlinear on $+infty$. \u0000To obtain the results we apply topological methods.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48889974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two 具有指数非线性和二维对流项的椭圆系统的一些存在性结果
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI: 10.12775/tmna.2022.025
W. Liu
{"title":"Some existence results for elliptic systems with exponential nonlinearities and convection terms in dimension two","authors":"W. Liu","doi":"10.12775/tmna.2022.025","DOIUrl":"https://doi.org/10.12775/tmna.2022.025","url":null,"abstract":"In this paper, we establish the existence of solutions to a class of elliptic systems.\u0000The nonlinearities include exponential growth terms and convection terms.\u0000 The exponential growth term means it could be critical growth at $infty$.\u0000The Trudinger-Moser inequality is used to deal with it. The convection term means\u0000 it involves the gradient of unknown function.\u0000The strong convergence of sequences is employed to overcome the difficulties caused by convection terms.\u0000The variational methods are invalid and the Galerkin method and an approximation scheme are applied to obtain four different solutions.\u0000Our results supplements those from cite{Araujo2018}.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49360756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents 退化变指数椭圆方程解的先验界和Hölder连续性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI: 10.12775/tmna.2022.021
Ky Ho, L. Nhan, L. Truong
{"title":"A-priori bound and Hölder continuity of solutions to degenerate elliptic equations with variable exponents","authors":"Ky Ho, L. Nhan, L. Truong","doi":"10.12775/tmna.2022.021","DOIUrl":"https://doi.org/10.12775/tmna.2022.021","url":null,"abstract":"We investigate the boundedness and regularity of solutions to degenerate elliptic equations with variable exponents that are subject to the Dirichlet boundary condition. \u0000By employing the De Giorgi iteration, we obtain a-priori bounds and the Hölder continuity for solutions. \u0000As an application, we obtain the existence of infinitely many small solutions for a class of degenerate elliptic equations involving variable exponents.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46074872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Affine-periodic solutions for generalized ODEs and other equations 广义微分方程及其它方程的仿射周期解
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-12-10 DOI: 10.12775/tmna.2022.027
M. Federson, R. Grau, Carolina Mesquita
{"title":"Affine-periodic solutions for generalized ODEs and other equations","authors":"M. Federson, R. Grau, Carolina Mesquita","doi":"10.12775/tmna.2022.027","DOIUrl":"https://doi.org/10.12775/tmna.2022.027","url":null,"abstract":"It is known that the concept of affine-periodicity encompasses classic notions\u0000of symmetries as the classic periodicity, anti-periodicity and rotating symmetries\u0000(in particular, quasi-periodicity). The aim of this paper is to establish the basis\u0000 of affine-periodic solutions of generalized ODEs. Thus, for a given real number $T> 0$ and an invertible $ntimes n$ matrix $Q$, with entries in $mathbb C$,\u0000we establish conditions for the existence of a $(Q,T)$-affine-periodic solution\u0000within the framework of nonautonomous generalized ODEs, whose integral form displays the nonabsolute Kurzweil integral, which encompasses many types\u0000of integrals, such as the Riemann, the Lebesgue integral, among others. The main tools employed here are the fixed point theorems of Banach and of Krasnosel'skiĭ.\u0000We apply our main results to measure differential equations with\u0000Henstock-Kurzweil-Stiejtes righthand sides as well as to impulsive differential equations and dynamic equations on time scales which are particular cases of the former.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43136090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A word on Professor Kazimierz Goebel (1940-2022) 卡齐米兹·戈贝尔教授(1940-2022)
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-09-24 DOI: 10.12775/tmna.2022.019
Stanisław Prus
{"title":"A word on Professor Kazimierz Goebel (1940-2022)","authors":"Stanisław Prus","doi":"10.12775/tmna.2022.019","DOIUrl":"https://doi.org/10.12775/tmna.2022.019","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44483707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Absolute normalized norms in R^2 and Heinz means constant R^2中的绝对归一化范数和Heinz表示常数
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-09-24 DOI: 10.12775/tmna.2022.003
Zhan-fei Zuo, Yi-min Huang
{"title":"Absolute normalized norms in R^2 and Heinz means constant","authors":"Zhan-fei Zuo, Yi-min Huang","doi":"10.12775/tmna.2022.003","DOIUrl":"https://doi.org/10.12775/tmna.2022.003","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48896934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations 抽象时空分数扩散方程温和解的整体存在性、局部存在性和爆破性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-09-13 DOI: 10.12775/tmna.2021.015
Yongqiang Fu, Xiaoju Zhang
{"title":"Global existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equations","authors":"Yongqiang Fu, Xiaoju Zhang","doi":"10.12775/tmna.2021.015","DOIUrl":"https://doi.org/10.12775/tmna.2021.015","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44373867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Gutierrez-Sotomayor flows on singular surfaces 奇异表面上的Gutierrez-Sotomayor流
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.054
Ketty A. de Rezende, Nivaldo G. Grulha Jr., Dahisy V. de S. Lima, Murilo A.J. Zigart
{"title":"Gutierrez-Sotomayor flows on singular surfaces","authors":"Ketty A. de Rezende, Nivaldo G. Grulha Jr., Dahisy V. de S. Lima, Murilo A.J. Zigart","doi":"10.12775/tmna.2021.054","DOIUrl":"https://doi.org/10.12775/tmna.2021.054","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45980997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 2 环面到克莱因瓶映射的同伦类的Borsuk-Ulam性质-第2部分
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2022.005
Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass
{"title":"The Borsuk-Ulam property for homotopy classes of maps from the torus to the Klein bottle - part 2","authors":"Daciberg Lima Gonçalves, John Guaschi, Vinicius Casteluber Laass","doi":"10.12775/tmna.2022.005","DOIUrl":"https://doi.org/10.12775/tmna.2022.005","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44576066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Choquard logarithmic equation involving a nonlinearity with exponential growth 涉及指数增长非线性的乔夸尔对数方程
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.062
Eduardo de S. Böer, Olímpio H. Miyagaki
{"title":"The Choquard logarithmic equation involving a nonlinearity with exponential growth","authors":"Eduardo de S. Böer, Olímpio H. Miyagaki","doi":"10.12775/tmna.2021.062","DOIUrl":"https://doi.org/10.12775/tmna.2021.062","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76996899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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