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Liouville theorem for Hénon-type bi-harmonic Choquard equation in 中赫农型双谐波 Choquard 方程的柳维尔定理
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-09-12 DOI: 10.1080/17476933.2024.2375562
Haiyang He, Xiao Li
{"title":"Liouville theorem for Hénon-type bi-harmonic Choquard equation in","authors":"Haiyang He, Xiao Li","doi":"10.1080/17476933.2024.2375562","DOIUrl":"https://doi.org/10.1080/17476933.2024.2375562","url":null,"abstract":"In this paper, our purpose is to study the following Hénon-type Bi-harmonic Choquard equation (1) Δ2u=∫RN|x|α|y|αup(y)|x−y|N−μdyup−1,inRN, where α>0,0<μ<N. Let N = 5 and 2<p<5+2α+μ, we will show...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142250872","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 and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system 准线性薛定谔-泊松系统符号变化解的存在性和多重性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-09-05 DOI: 10.1080/17476933.2024.2372100
Xin Du, Chun-Lei Tang
{"title":"Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger–Poisson system","authors":"Xin Du, Chun-Lei Tang","doi":"10.1080/17476933.2024.2372100","DOIUrl":"https://doi.org/10.1080/17476933.2024.2372100","url":null,"abstract":"In this paper, we consider the quasilinear Schrödinger–Poisson system {−Δu+V(x)u+ϕu−[Δ(1+u2)1/2]u2(1+u2)1/2=f(u)inR3,−Δϕ=u2inR3, where V is a given coercive potential and the nonlinearity include...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142251203","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
Normalized solutions for the fractional P-Laplacian equation with exponential critical growth 具有指数临界增长的分数 P-Laplacian 方程的归一化解法
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-09-04 DOI: 10.1080/17476933.2024.2394876
Ling Huang, Hangxin Wen, Jianjun Zhang, Xuexiu Zhong
{"title":"Normalized solutions for the fractional P-Laplacian equation with exponential critical growth","authors":"Ling Huang, Hangxin Wen, Jianjun Zhang, Xuexiu Zhong","doi":"10.1080/17476933.2024.2394876","DOIUrl":"https://doi.org/10.1080/17476933.2024.2394876","url":null,"abstract":"In this paper, we investigate the existence of solution to the fractional p-Laplacian equation (−Δ)psu+λ|u|p−2u=f(u)in RN,N≥2,u∈Ws,p(RN), satisfying the normalization constraint ∫RN|u|pdx=cp, whe...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268686","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
Liouville theorem of the regional fractional Lane–Emden equations 区域分数 Lane-Emden 方程的柳维尔定理
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-09-02 DOI: 10.1080/17476933.2024.2394878
Ying Wang, Yanqing Sun, Hongxing Chen, Hichem Hajaiej
{"title":"Liouville theorem of the regional fractional Lane–Emden equations","authors":"Ying Wang, Yanqing Sun, Hongxing Chen, Hichem Hajaiej","doi":"10.1080/17476933.2024.2394878","DOIUrl":"https://doi.org/10.1080/17476933.2024.2394878","url":null,"abstract":"The purpose of this paper is to study the Liouville property for the Lane–Emden equation involving the regional fractional Laplacian (−Δ)Ωsu+Vu=h1up+h2in Ω,u=0on ∂Ω, where s∈(0,1), p>0, h1,h2 are...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209161","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
Fractional Musielak spaces: study of nonlocal elliptic problem with Choquard-logarithmic nonlinearity 分数穆斯拉克空间：具有乔夸尔-对数非线性的非局部椭圆问题研究
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-08-21 DOI: 10.1080/17476933.2024.2350958
Hamza El-Houari, Hicham Moussa, Hajar Sabiki
{"title":"Fractional Musielak spaces: study of nonlocal elliptic problem with Choquard-logarithmic nonlinearity","authors":"Hamza El-Houari, Hicham Moussa, Hajar Sabiki","doi":"10.1080/17476933.2024.2350958","DOIUrl":"https://doi.org/10.1080/17476933.2024.2350958","url":null,"abstract":"In this study, we thoroughly examine a specific type of complex mathematical problems involving a fractional ψκ,y(⋅)-Laplacian operator and a Choquard-logarithmic nonlinearity, combined with a real...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209163","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 nonlocal elliptic system with nonlinear singular terms 带有非线性奇异项的非局部椭圆系统
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-08-15 DOI: 10.1080/17476933.2024.2382791
Kheireddine Biroud
{"title":"A nonlocal elliptic system with nonlinear singular terms","authors":"Kheireddine Biroud","doi":"10.1080/17476933.2024.2382791","DOIUrl":"https://doi.org/10.1080/17476933.2024.2382791","url":null,"abstract":"In this work we deal with the nonlocal elliptic system: (S){(−Δ)s1u=θvqu1−θin Ω,(−Δ)s2v=qvq−1uθin Ω,u=v=0in RN∖Ω,u,v>0in Ω, where Ω⊂RN is a bounded regular domain (C2 is sufficient), N>2s2, s1,s2...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209164","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
Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator 涉及邓克尔拉普拉斯算子的半线性不等式的柳维尔式结果
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-08-13 DOI: 10.1080/17476933.2024.2384485
Mohamed Jleli, Bessem Samet, Calogero Vetro
{"title":"Liouville-type results for semilinear inequalities involving the Dunkl Laplacian operator","authors":"Mohamed Jleli, Bessem Samet, Calogero Vetro","doi":"10.1080/17476933.2024.2384485","DOIUrl":"https://doi.org/10.1080/17476933.2024.2384485","url":null,"abstract":"Let Δk be the Dunkl generalized Laplacian operator associated to a root system R of RN and a nonnegative multiplicity function k defined on R and invariant by the finite reflection group W. In this...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209165","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
Exact solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients 具有奇异系数的几类非椭圆考奇-黎曼型系统的精确解
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-08-06 DOI: 10.1080/17476933.2024.2364645
A. Bentrad
{"title":"Exact solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients","authors":"A. Bentrad","doi":"10.1080/17476933.2024.2364645","DOIUrl":"https://doi.org/10.1080/17476933.2024.2364645","url":null,"abstract":"This paper deals with the solutions for some classes of non-elliptic Cauchy–Riemann type systems with singular coefficients.We give an explicit representation of the solutions and study their singu...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947461","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 nonlinear superposition operator on harmonic fock spaces 谐波法克空间上的非线性叠加算子
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-08-01 DOI: 10.1080/17476933.2024.2384482
Tesfa Mengestie
{"title":"The nonlinear superposition operator on harmonic fock spaces","authors":"Tesfa Mengestie","doi":"10.1080/17476933.2024.2384482","DOIUrl":"https://doi.org/10.1080/17476933.2024.2384482","url":null,"abstract":"We describe the conditions under which the superposition operator maps one harmonic Fock space into another. We further proved that all superposition operators on the spaces are both bounded and gl...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947462","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 the Hadamard multiplication theorem in ℂn 关于ℂn 中的哈达玛乘法定理
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-07-30 DOI: 10.1080/17476933.2024.2384478
Maria Trybuła
{"title":"On the Hadamard multiplication theorem in ℂn","authors":"Maria Trybuła","doi":"10.1080/17476933.2024.2384478","DOIUrl":"https://doi.org/10.1080/17476933.2024.2384478","url":null,"abstract":"The Hadamard product of two holomorphic functions given by Taylor series ∑αaαzα and ∑αbαzα, defined on neighborhoods Ω1 and Ω2 of the origin, is the function whose Taylor series is ∑αaαbαzα. For n=...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141866059","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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