Pub Date : 2024-02-01DOI: 10.1080/17476933.2024.2310250
Brahim Dridi, Abir Amor Ben Ali, Rached Jaidane
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...
{"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}
Pub Date : 2024-01-22DOI: 10.1080/17476933.2024.2303428
Jun Wang, Xiaoguang Li
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...
{"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}
Pub Date : 2024-01-22DOI: 10.1080/17476933.2024.2303440
Sabri Bensid
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...
本文考虑以下自由边界问题： (P){Δu=λϕ(x)∑i=1nH(u-μi)inΩ=Ω2∖Ω¯1,u=0on∂Ω2,u=Mon∂Ω1.域 Ω 是一个凸环，其中 Ω1 和 Ω2 是 R 中的有界凸域...
{"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}
Pub Date : 2024-01-03DOI: 10.1080/17476933.2023.2298837
Carlo Bellavita, Eugenio Dellepiane
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 ...
{"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}
Pub Date : 2023-12-28DOI: 10.1080/17476933.2023.2298846
Long Gao, Xiaojing Du, Xiaotong Liang, Yonghong Xie
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...
{"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}
Pub Date : 2023-12-28DOI: 10.1080/17476933.2023.2298838
Qi Li, Yuzhu Han
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...
{"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}
Pub Date : 2023-12-28DOI: 10.1080/17476933.2023.2293793
Shaohua Fan, Hua Liu, ZhiHui Nie
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...
{"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}
Pub Date : 2023-12-27DOI: 10.1080/17476933.2023.2296102
Ruichang Pei, Jihui Zhang
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...
本文考虑以下分数基尔霍夫类型问题 {(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>0 in R, 其中ϵ为正参数，a,b>0 为...
{"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}
Pub Date : 2023-12-26DOI: 10.1080/17476933.2023.2293804
Pham Viet Hai
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...
{"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}
Pub Date : 2023-12-21DOI: 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}
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