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Topological Methods in Nonlinear Analysis最新文献

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Embeddability of joins and products of polyhedra 多面体的连接和乘积的嵌入性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2022.004
Sergey A Melikhov
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引用次数: 2
On determining the homological Conley index of Poincaré maps in autonomous systems 自治系统中poincar<s:1>映射的同调Conley指数的确定
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2022.006
Roman Srzednicki
{"title":"On determining the homological Conley index of Poincaré maps in autonomous systems","authors":"Roman Srzednicki","doi":"10.12775/tmna.2022.006","DOIUrl":"https://doi.org/10.12775/tmna.2022.006","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":"47896208","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
G-category versus orbifold category g类和轨道类
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-26 DOI: 10.12775/tmna.2022.055
A. Ángel, Hellen Colman
{"title":"G-category versus orbifold category","authors":"A. Ángel, Hellen Colman","doi":"10.12775/tmna.2022.055","DOIUrl":"https://doi.org/10.12775/tmna.2022.055","url":null,"abstract":"We present a comparative study of certain invariants defined for group actions and\u0000 their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant\u0000 category for $G$-spaces coincides with the Lusternik-Schnirelmann category for\u0000 orbifolds when the group is finite.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46344999","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
Lusternik-Schnirelmann theory to topological complexity from $A_{infty}$-view point 拓扑复杂性的Lusternik-Schnirelmann理论
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-16 DOI: 10.12775/tmna.2022.060
Norio Iwase
{"title":"Lusternik-Schnirelmann theory to topological complexity from $A_{infty}$-view point","authors":"Norio Iwase","doi":"10.12775/tmna.2022.060","DOIUrl":"https://doi.org/10.12775/tmna.2022.060","url":null,"abstract":"We are trying to look over the Lusternik-Schnirelmann theory (L-S theory, for short) and the Topological Complexity (TC, for short) as a natural extension of the L-S theory.\u0000In particular, we focus on the impact of the ideas originated from E. Fadell and S. Husseini on both theories.\u0000More precisely, we see how their ideas on a category weight and a relative category drive the L-S theory and the TC.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48750840","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
Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments 质量分配的gr<s:1> nbaum- hadwiger - ramos问题的拓扑结构
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-01 DOI: 10.12775/tmna.2022.041
Pavle V. M. Blagojevi'c, Jaime Calles Loperena, M. Crabb, Aleksandra S. Dimitrijevi'c Blagojevi'c
{"title":"Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments","authors":"Pavle V. M. Blagojevi'c, Jaime Calles Loperena, M. Crabb, Aleksandra S. Dimitrijevi'c Blagojevi'c","doi":"10.12775/tmna.2022.041","DOIUrl":"https://doi.org/10.12775/tmna.2022.041","url":null,"abstract":"In this paper, motivated by recent work of Schnider and Axelrod-Freed and Soberón, we study an extension of the \u0000classical Grünbaum-Hadwiger-Ramos mass partition problem to mass assignments.\u0000Using the Fadell-Husseini index theory we prove that for a given family of $j$ mass assignments\u0000$mu_1,dots,mu_j$ on the Grassmann manifold $G_{ell}big(mathbb{R}^dbig)$\u0000 and a given\u0000integer $kgeq 1$ there exist a linear subspace $Lin G_{ell}big(mathbb{R}^dbig)$ and\u0000$k$\u0000affine hyperplanes in $L$ that equipart the masses $mu_1^L,dots,mu_j^L$\u0000assigned to the subspace $L$, provided that $dgeq j + (2^{k-1}-1)2^{lfloorlog_2jrfloor}$.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45123536","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
Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity 具有对数非线性的非线性特征值问题分岔曲线的渐近性质
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-07-30 DOI: 10.12775/tmna.2021.040
Tetsutaro Shibata
{"title":"Asymptotic behavior of bifurcation curve of nonlinear eigenvalue problem with logarithmic nonlinearity","authors":"Tetsutaro Shibata","doi":"10.12775/tmna.2021.040","DOIUrl":"https://doi.org/10.12775/tmna.2021.040","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44976496","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
Andrzej Granas (1929-2019) Andrzej Granas（1929-2019）
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-06-30 DOI: 10.12775/tmna.2021.066
Kazimierz Gęba
{"title":"Andrzej Granas (1929-2019)","authors":"Kazimierz Gęba","doi":"10.12775/tmna.2021.066","DOIUrl":"https://doi.org/10.12775/tmna.2021.066","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47674287","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 measure differential inclusion with time-dependent maximal monotone operators 具有时变极大单调算子的测度微分包含
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-06-12 DOI: 10.12775/tmna.2021.046
Dalila Azzam-Laouir
{"title":"A measure differential inclusion with time-dependent maximal monotone operators","authors":"Dalila Azzam-Laouir","doi":"10.12775/tmna.2021.046","DOIUrl":"https://doi.org/10.12775/tmna.2021.046","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45261205","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
Existence and regularity of positive solutions of a degenerate fourth order elliptic problem 退化四阶椭圆型问题正解的存在性和正则性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-06-12 DOI: 10.12775/tmna.2021.019
Xiaohuan Wang, Jihui Zhang
{"title":"Existence and regularity of positive solutions of a degenerate fourth order elliptic problem","authors":"Xiaohuan Wang, Jihui Zhang","doi":"10.12775/tmna.2021.019","DOIUrl":"https://doi.org/10.12775/tmna.2021.019","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48319730","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
Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities 一类变指数非线性阻尼波动方程解衰减的分析与计算结果
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-06-12 DOI: 10.12775/tmna.2021.039
Salim A. Messaoudi, Mostafa Zahri
{"title":"Analytical and computational results for the decay of solutions of a damped wave equation with variable-exponent nonlinearities","authors":"Salim A. Messaoudi, Mostafa Zahri","doi":"10.12775/tmna.2021.039","DOIUrl":"https://doi.org/10.12775/tmna.2021.039","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43014651","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
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