Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2392637
Andronikos Paliathanasis
We explore the application of Lie symmetries to simplify the gravitational field equations of inhomogeneous cosmology. By employing these symmetries, we demonstrate the construction of a point-like...
{"title":"Minisuperspace description for inhomogeneous cosmological models and the role of the Lie symmetries","authors":"Andronikos Paliathanasis","doi":"10.2989/16073606.2024.2392637","DOIUrl":"https://doi.org/10.2989/16073606.2024.2392637","url":null,"abstract":"We explore the application of Lie symmetries to simplify the gravitational field equations of inhomogeneous cosmology. By employing these symmetries, we demonstrate the construction of a point-like...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"311 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223873","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2393682
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca
In this work we consider natural generalizations of local complementation in Banach spaces, which include Lipschitz-local complementation. We show that all these notions are indeed equivalent to th...
{"title":"Local complementation in Banach spaces and its preservation under free constructions","authors":"Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca","doi":"10.2989/16073606.2024.2393682","DOIUrl":"https://doi.org/10.2989/16073606.2024.2393682","url":null,"abstract":"In this work we consider natural generalizations of local complementation in Banach spaces, which include Lipschitz-local complementation. We show that all these notions are indeed equivalent to th...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184105","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}
Pub Date : 2024-08-05DOI: 10.2989/16073606.2024.2381557
Zhanbing Bai, Zedong Yang
In this paper, we consider a class of nonlinear p-k-Hessian systems with the gradient termwhere γ > 0, p > 1, and 1 ≤ k ≤ N is an integer. We show some existence, boundedness and blow-up results of...
在本文中，我们考虑了一类带有梯度项的非线性 p-k-Hessian 系统，其中 γ > 0，p > 1，且 1 ≤ k ≤ N 为整数。我们展示了...
{"title":"On p-k-convex solutions for the p-k-Hessian system with the gradient term","authors":"Zhanbing Bai, Zedong Yang","doi":"10.2989/16073606.2024.2381557","DOIUrl":"https://doi.org/10.2989/16073606.2024.2381557","url":null,"abstract":"In this paper, we consider a class of nonlinear p-k-Hessian systems with the gradient termwhere γ > 0, p > 1, and 1 ≤ k ≤ N is an integer. We show some existence, boundedness and blow-up results of...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"7 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947870","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}
Pub Date : 2024-08-02DOI: 10.2989/16073606.2024.2380499
Mikołaj Krupski, Kacper Kucharski
It is known that both the Menger and Hurewicz property of a Tychonoff space X can be described by the way X is placed in its Čech-Stone compactification βX. We provide analogous characterizations f...
众所周知，Tychonoff 空间 X 的门格尔性质和胡勒维奇性质都可以通过 X 在其 Čech-Stone 压缩 βX 中的放置方式来描述。我们提供了类似的特性来描述...
{"title":"Some remarks on the projective properties of Menger and Hurewicz","authors":"Mikołaj Krupski, Kacper Kucharski","doi":"10.2989/16073606.2024.2380499","DOIUrl":"https://doi.org/10.2989/16073606.2024.2380499","url":null,"abstract":"It is known that both the Menger and Hurewicz property of a Tychonoff space X can be described by the way X is placed in its Čech-Stone compactification βX. We provide analogous characterizations f...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"91 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947869","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}
Pub Date : 2024-08-02DOI: 10.2989/16073606.2024.2364302
Sanping Rao, Chunxiao Yang, Jinge Yang
We study the Cauchy problem for the doubly nonlocal equationwhere and for some m ∈ ℝ and 0 < α ≤ +∞, here α = +∞ means that J is compactly supported. The problem not only describes nonlocal diffu...
{"title":"On positive solutions of the Cauchy problem for doubly nonlocal equations","authors":"Sanping Rao, Chunxiao Yang, Jinge Yang","doi":"10.2989/16073606.2024.2364302","DOIUrl":"https://doi.org/10.2989/16073606.2024.2364302","url":null,"abstract":"We study the Cauchy problem for the doubly nonlocal equationwhere and for some m ∈ ℝ and 0 < α ≤ +∞, here α = +∞ means that J is compactly supported. The problem not only describes nonlocal diffu...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"7 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947868","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}
In this paper, we investigate the flow characteristics of an unsteady quasistatic Maxwell viscoelastic fluid of White-Metzner type within a three-dimensional bounded domain. Our objective is to est...
{"title":"Well-posedness result for the flow of Maxwell viscoelastic fluid of White-Metzner type","authors":"Djohra Dekhil, Toufik Laadj, Khaled M’hamed-messaoud","doi":"10.2989/16073606.2024.2381568","DOIUrl":"https://doi.org/10.2989/16073606.2024.2381568","url":null,"abstract":"In this paper, we investigate the flow characteristics of an unsteady quasistatic Maxwell viscoelastic fluid of White-Metzner type within a three-dimensional bounded domain. Our objective is to est...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"65 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947879","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}
Pub Date : 2024-07-31DOI: 10.2989/16073606.2024.2381552
Bencui Shan, Yanyan Zhang, Yu Zhang
The phenomena of concentration and cavitation in the Riemann solutions of the relativistic Euler equations with non-ideal isothermal dusty gas are considered. The Riemann problem is solved first, a...
研究了非理想等温含尘气体相对论欧拉方程黎曼解中的浓缩和气穴现象。首先求解黎曼问题，然后求解...
{"title":"Concentration and cavitation in the Riemann solution for the relativistic Euler equations with non-ideal isothermal dusty gas","authors":"Bencui Shan, Yanyan Zhang, Yu Zhang","doi":"10.2989/16073606.2024.2381552","DOIUrl":"https://doi.org/10.2989/16073606.2024.2381552","url":null,"abstract":"The phenomena of concentration and cavitation in the Riemann solutions of the relativistic Euler equations with non-ideal isothermal dusty gas are considered. The Riemann problem is solved first, a...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"90 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947876","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}
Pub Date : 2024-07-31DOI: 10.2989/16073606.2024.2380503
Xiumei Han, Zohreh Naghizadeh, Binlin Zhang
Our most significant aim is to guarantee multiplicity results for a Kirchhoff-type problem involving two parameters and p(x)-triharmonic operator subject to the Navier boundary condition. More prec...
{"title":"A study of a Kirchhoff-type p(x)-triharmonic problem involving two parameters","authors":"Xiumei Han, Zohreh Naghizadeh, Binlin Zhang","doi":"10.2989/16073606.2024.2380503","DOIUrl":"https://doi.org/10.2989/16073606.2024.2380503","url":null,"abstract":"Our most significant aim is to guarantee multiplicity results for a Kirchhoff-type problem involving two parameters and p(x)-triharmonic operator subject to the Navier boundary condition. More prec...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"40 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947877","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}
Pub Date : 2024-07-31DOI: 10.2989/16073606.2024.2374787
M. Makeshwari, V.P. Ramesh, R. Thangadurai
For a natural number n, the permutation (n!) is defined as the left-to-right product of the first n cycles, namely, . In this article, we prove that for any natural number n, 2 is a primitive root ...
对于自然数 n，置换 (n!) 被定义为前 n 个循环的从左到右的乘积，即 .在本文中，我们将证明对于任何自然数 n，2 都是一个原始根 ...
{"title":"Sophie Germain prime p and the permutation of product of first p cycles","authors":"M. Makeshwari, V.P. Ramesh, R. Thangadurai","doi":"10.2989/16073606.2024.2374787","DOIUrl":"https://doi.org/10.2989/16073606.2024.2374787","url":null,"abstract":"For a natural number n, the permutation (n!) is defined as the left-to-right product of the first n cycles, namely, . In this article, we prove that for any natural number n, 2 is a primitive root ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"44 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947872","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}
Pub Date : 2024-07-31DOI: 10.2989/16073606.2024.2374776
Huihui Zhu, Daihan Xu, Pedro Patrício, Dijana Mosić
Let A be an m × n complex matrix and let B, C be n × m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and inve...
设 A 是 m × n 复矩阵，B、C 是 n × m 复矩阵。本文的主要目的是推导 (B, C) 核逆的几个新性质。此外，我们还引入并研究了...
{"title":"The (B, C)-Core inverse of rectangular matrices","authors":"Huihui Zhu, Daihan Xu, Pedro Patrício, Dijana Mosić","doi":"10.2989/16073606.2024.2374776","DOIUrl":"https://doi.org/10.2989/16073606.2024.2374776","url":null,"abstract":"Let A be an m × n complex matrix and let B, C be n × m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and inve...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"13 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947873","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}
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