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Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity 具有指数增长非线性的加权基尔霍夫问题的符号变化解法
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-02-01 DOI: 10.1080/17476933.2024.2310250
Brahim Dridi, Abir Amor Ben Ali, Rached Jaidane
{"title":"Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity","authors":"Brahim Dridi, Abir Amor Ben Ali, Rached Jaidane","doi":"10.1080/17476933.2024.2310250","DOIUrl":"https://doi.org/10.1080/17476933.2024.2310250","url":null,"abstract":"In this work, we establish the existence of solutions that change sign at low energy for a non-local weighted Kirchhoff problem in the set RN,N>2. The non-linearity of the equation is assumed to ha...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"7 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139751402","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 critical phenomenon for the least energy solutions to nonlinear scalar field equations 非线性标量场方程最小能量解的临界现象
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-01-22 DOI: 10.1080/17476933.2024.2303428
Jun Wang, Xiaoguang Li
{"title":"A critical phenomenon for the least energy solutions to nonlinear scalar field equations","authors":"Jun Wang, Xiaoguang Li","doi":"10.1080/17476933.2024.2303428","DOIUrl":"https://doi.org/10.1080/17476933.2024.2303428","url":null,"abstract":"We study the existence of least energy solutions to the nonlinear scalar field equation: (1) −Δu+λu+V(x)u=Q(x)|u|pu,u∈H1(RN), Where V(x),Q(x)∈L∞(RN) are real functions satisfying suitable assump...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"3 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139559581","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 free boundary problem for discontinuous semilinear elliptic equations in convex ring 凸环中不连续半线性椭圆方程的自由边界问题
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-01-22 DOI: 10.1080/17476933.2024.2303440
Sabri Bensid
{"title":"A free boundary problem for discontinuous semilinear elliptic equations in convex ring","authors":"Sabri Bensid","doi":"10.1080/17476933.2024.2303440","DOIUrl":"https://doi.org/10.1080/17476933.2024.2303440","url":null,"abstract":"In this paper, we consider the following free boundary problem: (P){Δu=λϕ(x)∑i=1nH(u−μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1. The domain Ω is a convex ring where Ω1 and Ω2 are bounded convex domains in R...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"17 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139560083","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
Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces 迪里希勒空间中的嵌入模型和 de Branges-Rovnyak 空间
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-01-03 DOI: 10.1080/17476933.2023.2298837
Carlo Bellavita, Eugenio Dellepiane
{"title":"Embedding model and de Branges-Rovnyak spaces in Dirichlet spaces","authors":"Carlo Bellavita, Eugenio Dellepiane","doi":"10.1080/17476933.2023.2298837","DOIUrl":"https://doi.org/10.1080/17476933.2023.2298837","url":null,"abstract":"In this paper we study embeddings between de Branges-Rovnyak spaces H(b) and harmonically weighted Dirichlet spaces D(μ) in terms of the boundary spectrum of b and the support of the measure μ, by ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"79 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139094147","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 Cauchy integral formula for (p, q)-monogenic functions with α-weight in superspace 超空间中具有 α 权重的 (p, q) 单调函数的柯西积分公式
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-28 DOI: 10.1080/17476933.2023.2298846
Long Gao, Xiaojing Du, Xiaotong Liang, Yonghong Xie
{"title":"The Cauchy integral formula for (p, q)-monogenic functions with α-weight in superspace","authors":"Long Gao, Xiaojing Du, Xiaotong Liang, Yonghong Xie","doi":"10.1080/17476933.2023.2298846","DOIUrl":"https://doi.org/10.1080/17476933.2023.2298846","url":null,"abstract":"First, some properties for (p,q)-monogenic functions with α-weight in superspace are obtained. Then the Cauchy–Pompeiu formula in superspace is given. Finally, the Cauchy integral formula and the C...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"8 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139062729","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 solutions to a critical Kirchhoff equation with logarithmic perturbation 具有对数扰动的临界基尔霍夫方程解的存在性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-28 DOI: 10.1080/17476933.2023.2298838
Qi Li, Yuzhu Han
{"title":"Existence of solutions to a critical Kirchhoff equation with logarithmic perturbation","authors":"Qi Li, Yuzhu Han","doi":"10.1080/17476933.2023.2298838","DOIUrl":"https://doi.org/10.1080/17476933.2023.2298838","url":null,"abstract":"In this paper, the following Kirchhoff type elliptic equation −(a+b∫Ω|∇u|2dx)Δu=λ|u|q−2uln⁡|u|2+|u|4u, which involves a power type nonlinearity with critical Sobolev exponent and a logarithmic ty...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"3 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139062680","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
Riemann boundary value problems on the Archimedean spiral 阿基米德螺旋上的黎曼边界值问题
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-28 DOI: 10.1080/17476933.2023.2293793
Shaohua Fan, Hua Liu, ZhiHui Nie
{"title":"Riemann boundary value problems on the Archimedean spiral","authors":"Shaohua Fan, Hua Liu, ZhiHui Nie","doi":"10.1080/17476933.2023.2293793","DOIUrl":"https://doi.org/10.1080/17476933.2023.2293793","url":null,"abstract":"This paper studies the Riemann boundary value problems on the Archimedean spiral. We characterize the functions which are integrable on the Archimedean spiral. We also study the asymptotic behavior...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"76 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139063084","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 existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth 论具有临界指数增长的分数基尔霍夫方程正解的存在性和集中性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-27 DOI: 10.1080/17476933.2023.2296102
Ruichang Pei, Jihui Zhang
{"title":"On existence and concentration of positive solutions for a fractional Kirchhoff equation with critical exponential growth","authors":"Ruichang Pei, Jihui Zhang","doi":"10.1080/17476933.2023.2296102","DOIUrl":"https://doi.org/10.1080/17476933.2023.2296102","url":null,"abstract":"In this paper we consider the following fractional Kirchhoff type problem {(ϵa+ϵb2π∫R2|u(x)−u(y)|2|x−y|2dxdy)(−Δ)12u+V(x)u=f(u)in R,u∈H1/2(R),u>0in R, where ϵ is a positive parameter and a,b>0 ar...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"30 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139062724","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
Weighted composition operators on harmonic Fock spaces 谐波 Fock 空间上的加权合成算子
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-26 DOI: 10.1080/17476933.2023.2293804
Pham Viet Hai
{"title":"Weighted composition operators on harmonic Fock spaces","authors":"Pham Viet Hai","doi":"10.1080/17476933.2023.2293804","DOIUrl":"https://doi.org/10.1080/17476933.2023.2293804","url":null,"abstract":"In this paper, we study weighted composition operators on Fock spaces of harmonic functions (briefly as harmonic Fock spaces). The basic properties of such operators (boundedness, compactness, inve...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"31 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139056711","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
Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity 具有临界或超临界非线性的对数分数基尔霍夫方程的多解法
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-12-21 DOI: 10.1080/17476933.2023.2293800
Ting Huang, Yan-Ying Shang
{"title":"Multiple solutions for the logarithmic fractional Kirchhoff equation with critical or supercritical nonlinearity","authors":"Ting Huang, Yan-Ying Shang","doi":"10.1080/17476933.2023.2293800","DOIUrl":"https://doi.org/10.1080/17476933.2023.2293800","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"54 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949810","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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