发布求助
文献互助 智能选刊 最新文献

Proceedings of the Edinburgh Mathematical Society最新文献

筛选
英文 中文
PEM series 2 volume 66 issue 4 Cover and Front matter PEM 系列 2 第 66 卷第 4 期 封面和封底
IF 0.7 3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-11-01 DOI: 10.1017/s001309152300072x
{"title":"PEM series 2 volume 66 issue 4 Cover and Front matter","authors":"","doi":"10.1017/s001309152300072x","DOIUrl":"https://doi.org/10.1017/s001309152300072x","url":null,"abstract":"","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139302420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
PEM series 2 volume 66 issue 4 Cover and Back matter PEM 系列 2 第 66 卷第 4 期封面和封底事项
IF 0.7 3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-11-01 DOI: 10.1017/s0013091523000731
{"title":"PEM series 2 volume 66 issue 4 Cover and Back matter","authors":"","doi":"10.1017/s0013091523000731","DOIUrl":"https://doi.org/10.1017/s0013091523000731","url":null,"abstract":"","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139298789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stable solutions to double phase problems involving a nonlocal term – erratum 涉及非局部项的双相问题的稳定解--勘误表
IF 0.7 3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-11-01 DOI: 10.1017/s0013091523000718
Belgacem Rahal, Phuong Le
{"title":"Stable solutions to double phase problems involving a nonlocal term – erratum","authors":"Belgacem Rahal, Phuong Le","doi":"10.1017/s0013091523000718","DOIUrl":"https://doi.org/10.1017/s0013091523000718","url":null,"abstract":"","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139291868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On Liouville Theorems of a Hartree–Poisson system Hartree-Poisson系统的Liouville定理
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-26 DOI: 10.1017/s0013091523000603
Ling Li, Yutian Lei
{"title":"On Liouville Theorems of a Hartree–Poisson system","authors":"Ling Li, Yutian Lei","doi":"10.1017/s0013091523000603","DOIUrl":"https://doi.org/10.1017/s0013091523000603","url":null,"abstract":"Abstract In this paper, we are concerned with the non-existence of positive solutions of a Hartree–Poisson system: begin{equation*} left{ begin{aligned} &-Delta u=left(frac{1}{|x|^{n-2}}ast v^pright)v^{p-1},quad u gt 0 text{in} mathbb{R}^{n}, &-Delta v=left(frac{1}{|x|^{n-2}}ast u^qright)u^{q-1},quad v gt 0 text{in} mathbb{R}^{n}, end{aligned} right. end{equation*} where $n geq3$ and $min{p,q} gt 1$ . We prove that the system has no positive solution under a Serrin-type condition. In addition, the system has no positive radial classical solution in a Sobolev-type subcritical case. In addition, the system has no positive solution with some integrability in this Sobolev-type subcritical case. Finally, the relation between a Liouville theorem and the estimate of boundary blowing-up rates is given.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134909890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stable Solutions to Double Phase Problems Involving a Nonlocal Term 涉及非局部项的双相问题的稳定解
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-23 DOI: 10.1017/s0013091523000597
Belgacem Rahal, Phuong Le
{"title":"Stable Solutions to Double Phase Problems Involving a Nonlocal Term","authors":"Belgacem Rahal, Phuong Le","doi":"10.1017/s0013091523000597","DOIUrl":"https://doi.org/10.1017/s0013091523000597","url":null,"abstract":"Abstract In this paper, we study weak solutions, possibly unbounded and sign-changing, to the double phase problem begin{equation*} -text{div} (|nabla u|^{p-2} nabla u + w(x)|nabla u|^{q-2} nabla u) = left(frac{1}{|x|^{N-mu}}*f|u|^rright) f(x)|u|^{r-2}u quadtext{in} mathbb{R}^N, end{equation*} where $qge pge2$ , r > q , $0 lt mu lt N$ and $w,f in L^1_{rm loc}(mathbb{R}^N)$ are two non-negative functions such that $w(x) le C_1|x|^a$ and $f(x) ge C_2|x|^b$ for all $|x| gt R_0$ , where $R_0,C_1,C_2 gt 0$ and $a,binmathbb{R}$ . Under some appropriate assumptions on p , q , r , µ , a , b and N , we prove various Liouville-type theorems for weak solutions which are stable or stable outside a compact set of $mathbb{R}^N$ . First, we establish the standard integral estimates via stability property to derive the non-existence results for stable weak solutions. Then, by means of the Pohožaev identity, we deduce the Liouville-type theorem for weak solutions which are stable outside a compact set.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135405611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Classification of Subpencils for Hyperplane Sections on Certain K3 Surfaces 某些K3曲面上超平面剖面的子铅笔分类
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-23 DOI: 10.1017/s0013091523000561
Tomokuni Takahashi
{"title":"Classification of Subpencils for Hyperplane Sections on Certain K3 Surfaces","authors":"Tomokuni Takahashi","doi":"10.1017/s0013091523000561","DOIUrl":"https://doi.org/10.1017/s0013091523000561","url":null,"abstract":"Abstract We classify the subpencils of complete linear systems for the hyperplane sections on K3 surfaces obtained as the complete intersection of a hyperquadric and a hypercubic. The classification is done from three points of view, namely, the type of a general fibre, the base locus and the Horikawa index of the essential member. This classification shows the distinct phenomenons depending on the rank of the hyperquadrics containing the surface.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135368173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Normal Families and Quasiregular Mappings 正规族与拟正则映射
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-23 DOI: 10.1017/s0013091523000640
Alastair N. Fletcher, Daniel A. Nicks
{"title":"Normal Families and Quasiregular Mappings","authors":"Alastair N. Fletcher, Daniel A. Nicks","doi":"10.1017/s0013091523000640","DOIUrl":"https://doi.org/10.1017/s0013091523000640","url":null,"abstract":"Abstract Beardon and Minda gave a characterization of normal families of holomorphic and meromorphic functions in terms of a locally uniform Lipschitz condition. Here, we generalize this viewpoint to families of mappings in higher dimensions that are locally uniformly continuous with respect to a given modulus of continuity. Our main application is to the normality of families of quasiregular mappings through a locally uniform Hölder condition. This provides a unified framework in which to consider families of quasiregular mappings, both recovering known results of Miniowitz, Vuorinen and others and yielding new results. In particular, normal quasimeromorphic mappings, Yosida quasiregular mappings and Bloch quasiregular mappings can be viewed as classes of quasiregular mappings which arise through consideration of various metric spaces for the domain and range. We give several characterizations of these classes and obtain upper bounds on the rate of growth in each class.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135367701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Burstein’s Permutation Conjecture, Hong and Li’s Inversion Sequence Conjecture and Restricted Eulerian Distributions Burstein的置换猜想，Hong和Li的逆序列猜想和受限欧拉分布
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-23 DOI: 10.1017/s0013091523000652
Shane Chern, Shishuo Fu, Zhicong Lin
{"title":"Burstein’s Permutation Conjecture, Hong and Li’s Inversion Sequence Conjecture and Restricted Eulerian Distributions","authors":"Shane Chern, Shishuo Fu, Zhicong Lin","doi":"10.1017/s0013091523000652","DOIUrl":"https://doi.org/10.1017/s0013091523000652","url":null,"abstract":"Abstract Recently, Hong and Li launched a systematic study of length-four pattern avoidance in inversion sequences, and in particular, they conjectured that the number of 0021-avoiding inversion sequences can be enumerated by the OEIS entry A218225. Meanwhile, Burstein suggested that the same sequence might also count three sets of pattern-restricted permutations. The objective of this paper is not only a confirmation of Hong and Li’s conjecture and Burstein’s first conjecture but also two more delicate generating function identities with the $mathsf{ides}$ statistic concerned in the restricted permutation case and the $mathsf{asc}$ statistic concerned in the restricted inversion sequence case, which yield a new equidistribution result.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135411984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Inequalities Concerning Maximum Modulus and Zeros of Random Entire Functions 关于随机整函数的最大模和零的不等式
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-19 DOI: 10.1017/s0013091523000639
Hui Li, Jun Wang, Xiao Yao, Zhuan Ye
{"title":"Inequalities Concerning Maximum Modulus and Zeros of Random Entire Functions","authors":"Hui Li, Jun Wang, Xiao Yao, Zhuan Ye","doi":"10.1017/s0013091523000639","DOIUrl":"https://doi.org/10.1017/s0013091523000639","url":null,"abstract":"Abstract Let $f(z)=sumlimits_{j=0}^{infty} a_j z^j$ be a transcendental entire function and let $f_omega(z)=sumlimits_{j=0}^{infty}chi_j(omega) a_j z^j$ be a random entire function, where $chi_j(omega)$ are independent and identically distributed random variables defined on a probability space $(Omega, mathcal{F}, mu)$ . In this paper, we first define a family of random entire functions, which includes Gaussian, Rademacher and Steinhaus entire functions. We prove that, for almost all functions in the family and for any constant C > 1, there exist a constant $r_0=r_0(omega)$ and a set $Esubset [e, infty)$ of finite logarithmic measure such that, for $r gt r_0$ and $rnotin E$ , begin{equation*} |log M(r, f)- N(r,0, f_omega)|le (C/A)^{frac1{B}},log^{frac1{B}},log M(r,f) +log,log M(r, f), qquad a.s. end{equation*} where $A, B$ are constants, $M(r, f)$ is the maximum modulus and $N(r, 0, f)$ is the integrated zero-counting function of f . As a by-product of our main results, we prove Nevanlinna’s second main theorem for random entire functions. Thus, the characteristic function of almost all functions in the family is bounded above by an integrated counting function, rather than by two integrated counting functions as in the classical Nevanlinna theory. For instance, we show that, for almost all Gaussian entire functions f ω and for any ϵ > 0, there is r 0 such that, for $r gt r_0$ , begin{equation*} T(r, f) le N(r,0, f_omega)+left(tfrac12+epsilonright) log T(r, f). end{equation*}","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135666548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 the Vanishing of the Coefficients of CM Eta Quotients 关于CM - Eta商系数的消失性
3区 数学
Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-10-18 DOI: 10.1017/s0013091523000627
Tim Huber, Chang Liu, James McLaughlin, Dongxi Ye, Miaodan Yuan, Sumeng Zhang
{"title":"On the Vanishing of the Coefficients of CM Eta Quotients","authors":"Tim Huber, Chang Liu, James McLaughlin, Dongxi Ye, Miaodan Yuan, Sumeng Zhang","doi":"10.1017/s0013091523000627","DOIUrl":"https://doi.org/10.1017/s0013091523000627","url":null,"abstract":"Abstract This work characterizes the vanishing of the Fourier coefficients of all CM (Complex Multiplication) eta quotients. As consequences, we recover Serre’s characterization about that of $eta(12z)^{2}$ and recent results of Chang on the p th coefficients of $eta(4z)^{6}$ and $eta(6z)^{4}$ . Moreover, we generalize the results on the cases of weight 1 to the setting of binary quadratic forms.","PeriodicalId":20586,"journal":{"name":"Proceedings of the Edinburgh Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135883459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信