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Topological Methods in Nonlinear Analysis最新文献

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Realization of rotation vectors for volume preserving homeomorphisms of the torus 环面保体同胚旋转矢量的实现
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.042
Paulo Varandas
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引用次数: 0
Sign-changing multi-bump solutions for Choquard equation with deepening potential well 具有加深势阱的Choquard方程的变号多凸点解
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.041
Xiaolong Yang
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引用次数: 0
Normalized solutions for nonlinear fractional Kirchhoff type systems 非线性分数Kirchhoff型系统的归一化解
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.067
Lingzheng Kong, Haibo Chen
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引用次数: 2
A priori bounds and existence of positive solutions for fractional Kirchhoff equations 分数阶Kirchhoff方程的先验界和正解的存在性
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.053
Pengfei Li, Junhui Xie, Dan Mu
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引用次数: 0
Strategies to annihilate coincidences of maps from two-complexes into the circle 从两个复合体到圆中消除地图巧合的策略
IF 0.7 4区 数学
Topological Methods in Nonlinear Analysis Pub Date : 2022-08-31 DOI: 10.12775/tmna.2021.059
Marcio Colombo Fenille
{"title":"Strategies to annihilate coincidences of maps from two-complexes into the circle","authors":"Marcio Colombo Fenille","doi":"10.12775/tmna.2021.059","DOIUrl":"https://doi.org/10.12775/tmna.2021.059","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47267755","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
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
{"title":"Embeddability of joins and products of polyhedra","authors":"Sergey A Melikhov","doi":"10.12775/tmna.2022.004","DOIUrl":"https://doi.org/10.12775/tmna.2022.004","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49529258","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
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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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
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