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Differential subordination of certain class of starlike functions 某类星形函数的微分隶属关系
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-03-20 DOI: 10.1080/17476933.2024.2326833
N. Verma, S. Sivaprasad Kumar
{"title":"Differential subordination of certain class of starlike functions","authors":"N. Verma, S. Sivaprasad Kumar","doi":"10.1080/17476933.2024.2326833","DOIUrl":"https://doi.org/10.1080/17476933.2024.2326833","url":null,"abstract":"This paper presents several results concerning second and third-order differential subordination for the class Se∗:={f∈A:zf′(z)/f(z)≺ez}, which represents the class of starlike functions associated...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"154 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140170588","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
Ground states of biharmonic equations with logarithmic weights and critical exponential growth 具有对数权重和临界指数增长的双谐波方程的基态
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-03-05 DOI: 10.1080/17476933.2024.2321608
Imed Abid, Sami Baraket
{"title":"Ground states of biharmonic equations with logarithmic weights and critical exponential growth","authors":"Imed Abid, Sami Baraket","doi":"10.1080/17476933.2024.2321608","DOIUrl":"https://doi.org/10.1080/17476933.2024.2321608","url":null,"abstract":"In this paper, we investigate a fourth-order weighted equation of the form Δ(w(x)|Δu|N2−2Δu)=f(x,u) within the unit ball B of RN. Our focus lies on establishing the existence of solutions under the...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"33 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140045290","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 dipolar Schramm-Loewner equation for finitely many slits 有限多个狭缝的双极施拉姆-卢瓦纳方程
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-29 DOI: 10.1080/17476933.2024.2321356
Shi-Yi Lan, Jia Zhang
{"title":"The dipolar Schramm-Loewner equation for finitely many slits","authors":"Shi-Yi Lan, Jia Zhang","doi":"10.1080/17476933.2024.2321356","DOIUrl":"https://doi.org/10.1080/17476933.2024.2321356","url":null,"abstract":"Let Σ be any disjoint union of finitely many simple curves in the strip region. Based on the continuous dependence of dipolar Loewner chains and the pre-compactness of driving functions associated ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"20 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140010710","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
Existence of solution for a nonlocal elliptic problem with a Robin-type data 具有罗宾型数据的非局部椭圆问题解的存在性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-21 DOI: 10.1080/17476933.2024.2310225
Debajyoti Choudhuri, Rana Alkhal, Kamel Saoudi
{"title":"Existence of solution for a nonlocal elliptic problem with a Robin-type data","authors":"Debajyoti Choudhuri, Rana Alkhal, Kamel Saoudi","doi":"10.1080/17476933.2024.2310225","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310225","url":null,"abstract":"The aim of this work is to study the elliptic problem: (−Δp)su+|u|p−2u=μf(x,u)+λu−γ in Ω,u>0 in Ω,Npsu+α(x)|u|p−2u=0 in RN∖Ω, under some conditions on the nonlinearity f. Here 2≤p≤ps∗, μ,λ>0, 0<s...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"119 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139953424","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
Nonexistence and multiplicity results for a fractional weighted (p,q)-Kirchhoff system 分数加权 (p,q)-Kirchhoff 系统的不存在性和多重性结果
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-20 DOI: 10.1080/17476933.2024.2316645
Xiumei Han, Zohreh Naghizadeh, Binlin Zhang
{"title":"Nonexistence and multiplicity results for a fractional weighted (p,q)-Kirchhoff system","authors":"Xiumei Han, Zohreh Naghizadeh, Binlin Zhang","doi":"10.1080/17476933.2024.2316645","DOIUrl":"https://doi.org/10.1080/17476933.2024.2316645","url":null,"abstract":"In this article, we study required conditions to guarantee the nonexistence and multiplicity of solutions for a fractional weighted (p,q)-Kirchhoff system by using variational techniques.","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"33 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139923796","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
Landau's theorem for harmonic Bloch functions on simply connected domains 简单相连域上谐波布洛赫函数的朗道定理
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-14 DOI: 10.1080/17476933.2023.2298834
Vasudevarao Allu, Himadri Halder
{"title":"Landau's theorem for harmonic Bloch functions on simply connected domains","authors":"Vasudevarao Allu, Himadri Halder","doi":"10.1080/17476933.2023.2298834","DOIUrl":"https://doi.org/10.1080/17476933.2023.2298834","url":null,"abstract":"For α∈(0,∞), let BH,Ω(α) denote the class of harmonic α-Bloch mappings on a proper simply connected domain Ω⊆C. In this article, we study coefficient estimates for harmonic α-Bloch mappings on a pr...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"256 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751470","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
On universal quotient Blaschke products 论普商布拉什克积
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-13 DOI: 10.1080/17476933.2024.2310231
Liulan Li, Tao Qian, Shilin Wang
{"title":"On universal quotient Blaschke products","authors":"Liulan Li, Tao Qian, Shilin Wang","doi":"10.1080/17476933.2024.2310231","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310231","url":null,"abstract":"In this paper, we introduce a new member to the universal families, called universal quotient Blaschke product, which is a formal quotient of two formal infinite Blaschke products. A formal infinit...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"26 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139773355","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
A non-local scalar field problem: existence, multiplicity and asymptotic behavior 非局部标量场问题：存在性、多重性和渐近行为
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-12 DOI: 10.1080/17476933.2024.2310227
Asma Amira Batahri, Ahmed Attar, Abdelrazek Dieb
{"title":"A non-local scalar field problem: existence, multiplicity and asymptotic behavior","authors":"Asma Amira Batahri, Ahmed Attar, Abdelrazek Dieb","doi":"10.1080/17476933.2024.2310227","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310227","url":null,"abstract":"The main purpose of this work is to study a non-local scalar field equation in bounded domains. More precisely we consider the semi-linear fractional elliptic problem: (−Δ)su=λup−1−um−1 in Ω,u>0 i...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"7 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751394","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
p(x)-biharmonic equations involving Leray–Lions type operators with Hardy potentials 涉及具有哈代势的勒雷-狮子型算子的 p(x)-双谐波方程
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-06 DOI: 10.1080/17476933.2024.2310221
Jian Liu, Zengqin Zhao
{"title":"p(x)-biharmonic equations involving Leray–Lions type operators with Hardy potentials","authors":"Jian Liu, Zengqin Zhao","doi":"10.1080/17476933.2024.2310221","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310221","url":null,"abstract":"In this article, we investigate p(x)-biharmonic equations involving Leray–Lions type operators with Hardy potentials. New criteria for the existence of at least one or at least three generalized so...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"40 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751391","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
Improvements to the Montel–Carathéodory theorem for families of Pn-valued holomorphic curves Pn 值全态曲线族的蒙特尔-卡拉瑟奥多里定理的改进
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-01 DOI: 10.1080/17476933.2024.2310218
Gopal Datt
{"title":"Improvements to the Montel–Carathéodory theorem for families of Pn-valued holomorphic curves","authors":"Gopal Datt","doi":"10.1080/17476933.2024.2310218","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310218","url":null,"abstract":"In this paper, we establish various sufficient conditions for a family of holomorphic mappings on a domain D⊆C into Pn to be normal. Our results are improvements to the Montel–Carathéodory Theorem ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"39 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139663808","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
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