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}
{"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":" ","pages":""},"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}
{"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":" ","pages":""},"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}
{"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":" ","pages":""},"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}
{"title":"Existence and multiplicity of sign-changing solutions for a Schrödinger-Bopp-Podolsky system","authors":"Lixiong Wang, Haibo Chen, Senli Liu","doi":"10.12775/tmna.2021.045","DOIUrl":"https://doi.org/10.12775/tmna.2021.045","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43015127","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}
{"title":"Nontrivial solutions for a class of gradient-type quasilinear elliptic systems","authors":"Anna Maria Candela, Caterina Sportelli","doi":"10.12775/tmna.2021.047","DOIUrl":"https://doi.org/10.12775/tmna.2021.047","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66695891","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}
{"title":"Fixed point theorems of various nonexpansive actions of semitopological semigroups on weakly/weak* compact convex sets","authors":"Bui Ngoc Muoi, Ngai-Ching Wong","doi":"10.12775/tmna.2021.050","DOIUrl":"https://doi.org/10.12775/tmna.2021.050","url":null,"abstract":"<jats:p />","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45894072","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}