Bulletin of The Iranian Mathematical Society最新文献_第7页

PBIB-Designs from Certain Subsets of Distance-Regular Graphs 从距离规则图的某些子集设计 PBIB

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-02-20 DOI: 10.1007/s41980-024-00859-y

Nan Li, Yan Zhu

引用次数: 0

The Ground State Solutions to a Class of Biharmonic Choquard Equations on Weighted Lattice Graphs 加权网格图上一类双谐周夸方程的基态解

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-31 DOI: 10.1007/s41980-023-00846-9

{"title":"The Ground State Solutions to a Class of Biharmonic Choquard Equations on Weighted Lattice Graphs","authors":"","doi":"10.1007/s41980-023-00846-9","DOIUrl":"https://doi.org/10.1007/s41980-023-00846-9","url":null,"abstract":"<h3>Abstract</h3> In this paper, we consider the biharmonic Choquard equation with the nonlocal term on the weighted lattice graph ({mathbb {Z}}^N) , namely for any (p>1) and (alpha in (0,,N)) $$begin{aligned} Delta ^2u-Delta u+V(x)u=left( sum _{yin {mathbb {Z}}^N,,ynot =x}frac{|u(y)|^p}{d(x,,y)^{N-alpha }}right) |u|^{p-2}u, end{aligned}$$ where (Delta ^2) is the biharmonic operator, (Delta ) is the (mu ) -Laplacian, (V:{mathbb {Z}}^Nrightarrow {mathbb {R}}) is a function, and (d(x,,y)) is the distance between x and y. If the potential V satisfies certain assumptions, using the method of Nehari manifold, we prove that for any (p>(N+alpha )/N) , there exists a ground state solution of the above-mentioned equation. Compared with the previous results, we adopt a new method to finding the ground state solution from mountain-pass solutions.","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139647856","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 Average Behaviors of the Fourier Coefficients of j-th Symmetric Power L-Function over Two Sparse Sequences of Positive Integers 两个正整数稀疏序列上 j-th 对称幂 L 函数傅里叶系数的平均行为

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-31 DOI: 10.1007/s41980-023-00850-z

Huafeng Liu, Xiaojie Yang

引用次数: 0

Strong Edge Geodetic Problem on Complete Multipartite Graphs and Some Extremal Graphs for the Problem 完整多方图上的强边大地测量问题和该问题的一些极值图

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-31 DOI: 10.1007/s41980-023-00849-6

引用次数: 0

On the Hilbert Function of General Unions of Curves in Projective Spaces 论投影空间中一般曲线联合的希尔伯特函数

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-31 DOI: 10.1007/s41980-023-00847-8

Edoardo Ballico

引用次数: 0

Classification of Initial Energy in a Pseudo-parabolic Equation with Variable Exponents and Singular Potential 具有可变指数和奇异势能的伪抛物方程中的初能量分类

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-29 DOI: 10.1007/s41980-023-00844-x

Xizheng Sun, Zhiqing Han, Bingchen Liu

引用次数: 0

Certain Observations on a $${{,mathrm{U_{fin}},}}$$ -Type Selection Principle 关于$${{,mathrm{U_{fin}},}}$类型选择原则的若干观察结果

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-27 DOI: 10.1007/s41980-023-00851-y

Debraj Chandra, Nur Alam

引用次数: 0

Fiedler Linearizations of Rectangular Rational Matrix Functions 矩形有理矩阵函数的费德勒线性化

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-12 DOI: 10.1007/s41980-023-00843-y

Namita Behera, Avisek Bist, Volker Mehrmann

引用次数: 0

Finite Group Modular Field Extensions, Green Theory and Absolutely Indecomposable and Simple Modules 有限群模块场扩展、格林理论和绝对不可分解简单模块

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-05 DOI: 10.1007/s41980-023-00838-9

Morton E. Harris

引用次数: 0

Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space 伪欧几里得空间中条目为不定距离的矩阵的嵌入维数

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-01-04 DOI: 10.1007/s41980-023-00842-z

{"title":"Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space","authors":"","doi":"10.1007/s41980-023-00842-z","DOIUrl":"https://doi.org/10.1007/s41980-023-00842-z","url":null,"abstract":"<h3>Abstract</h3> A finite set of the Euclidean space is called an s-distance set provided that the number of Euclidean distances in the set is s. Determining the largest possible s-distance set for the Euclidean space of a given dimension is challenging. This problem was solved only when dealing with small values of s and dimensions. Lisoněk (J Combin Theory Ser A 77(2):318–338, 1997) achieved the classification of the largest 2-distance sets for dimensions up to 7, using computer assistance and graph representation theory. In this study, we consider a theory analogous to these results of Lisoněk for the pseudo-Euclidean space (mathbb {R}^{p,q}) . We consider an s-indefinite-distance set in a pseudo-Euclidean space that uses the value $$begin{aligned} || varvec{x}-varvec{y}||&=(x_1-y_1)^2 +cdots +(x_p -y_p)^2 &quad -(x_{p+1}-y_{p+1})^2-cdots -(x_{p+q}-y_{p+q})^2 end{aligned}$$ instead of the Euclidean distance. We develop a representation theory for symmetric matrices in the context of s-indefinite-distance sets, which includes or improves the results of Euclidean s-distance sets with large s values. Moreover, we classify the largest possible 2-indefinite-distance sets for small dimensions.","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139103605","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