Pub Date : 2023-12-21DOI: 10.1080/17476933.2023.2293805
Siwar Saidani, A. Khelifi
{"title":"Eigenoscillations of the Maxwell equation in a domain with oscillating boundary","authors":"Siwar Saidani, A. Khelifi","doi":"10.1080/17476933.2023.2293805","DOIUrl":"https://doi.org/10.1080/17476933.2023.2293805","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"44 5","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138948838","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 : 2023-12-14DOI: 10.1080/17476933.2023.2289528
G.C. Anthal, J. Giacomoni, K. Sreenadh
In this article, we study a class of elliptic problems involving both local and nonlocal operators with different orders and a singular nonlinearity in combination with critical Hartree type nonlin...
{"title":"Mixed local and nonlocal elliptic equation with singular and critical Choquard nonlinearity","authors":"G.C. Anthal, J. Giacomoni, K. Sreenadh","doi":"10.1080/17476933.2023.2289528","DOIUrl":"https://doi.org/10.1080/17476933.2023.2289528","url":null,"abstract":"In this article, we study a class of elliptic problems involving both local and nonlocal operators with different orders and a singular nonlinearity in combination with critical Hartree type nonlin...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"86 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138691282","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 : 2023-12-14DOI: 10.1080/17476933.2023.2289498
Junmin Han, Xi Wu, Di Zhao
In this paper, we consider a Kohn–Nirenberg type domain Ω={(z1,…,zn)∈Cn:Rezn+∑j=1n−1(|zj|p+Kj|zj|p−qRezjq+Lj|zj|p−qImzjq)<0} and discuss the existence of supporting surface and peak function at the...
{"title":"A Kohn–Nirenberg type domain in Cn","authors":"Junmin Han, Xi Wu, Di Zhao","doi":"10.1080/17476933.2023.2289498","DOIUrl":"https://doi.org/10.1080/17476933.2023.2289498","url":null,"abstract":"In this paper, we consider a Kohn–Nirenberg type domain Ω={(z1,…,zn)∈Cn:Rezn+∑j=1n−1(|zj|p+Kj|zj|p−qRezjq+Lj|zj|p−qImzjq)<0} and discuss the existence of supporting surface and peak function at the...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"18 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138690978","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 : 2023-12-14DOI: 10.1080/17476933.2023.2289472
Ritu Raj, Bidhan Chandra Sardar
This article introduces the boundary optimal control problem in an N-dimensional domain governed by the stationary Stokes equations. Controls are applied to the states through Neumann data on the b...
本文介绍了受静止斯托克斯方程支配的 N 维域中的边界最优控制问题。控制是通过边界上的诺伊曼数据对状态进行控制。
{"title":"Homogenization and corrector result of optimal control problem for Stokes system","authors":"Ritu Raj, Bidhan Chandra Sardar","doi":"10.1080/17476933.2023.2289472","DOIUrl":"https://doi.org/10.1080/17476933.2023.2289472","url":null,"abstract":"This article introduces the boundary optimal control problem in an N-dimensional domain governed by the stationary Stokes equations. Controls are applied to the states through Neumann data on the b...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"96 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138691101","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 : 2023-12-03DOI: 10.1080/17476933.2023.2287013
Abdelwahed Chrih, Youssef Khelifi
In this article, we introduce a new generalized squeezing function defined on bounded domains in Cn and we describe its properties. We compare our generalized squeezing function with the squeezing ...
本文引入了在Cn有界域上定义的一个新的广义压缩函数，并描述了它的性质。我们将我们的广义压缩函数与
{"title":"A generalization of squeezing function","authors":"Abdelwahed Chrih, Youssef Khelifi","doi":"10.1080/17476933.2023.2287013","DOIUrl":"https://doi.org/10.1080/17476933.2023.2287013","url":null,"abstract":"In this article, we introduce a new generalized squeezing function defined on bounded domains in Cn and we describe its properties. We compare our generalized squeezing function with the squeezing ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"96 6","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540582","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 : 2023-12-01DOI: 10.1080/17476933.2023.2287007
Abdelhakim Sahbani
In this paper, we study by using variational methods, mountain pass theorem, Z2-mountain pass theorem combined with the theory of the generalized Lebesgue Sobolev spaces, the existence and multipli...
{"title":"Infinitely many solutions for problems involving -Laplacian and -biharmonic operators","authors":"Abdelhakim Sahbani","doi":"10.1080/17476933.2023.2287007","DOIUrl":"https://doi.org/10.1080/17476933.2023.2287007","url":null,"abstract":"In this paper, we study by using variational methods, mountain pass theorem, Z2-mountain pass theorem combined with the theory of the generalized Lebesgue Sobolev spaces, the existence and multipli...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"191 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540575","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 : 2023-11-30DOI: 10.1080/17476933.2023.2283879
Luis O. Silva, Julio H. Toloza
A de Branges space B is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under the map F(z)↦F(−z). Let KB(z,w) be the reproduci...
如果A de Branges空间B的常数属于它的关联函数空间，则它是正则的;如果它在映射F(z)∑F(−z)下是等距不变的，则它是对称的。设KB(z,w)为复现…
{"title":"Oversampling on a class of symmetric regular de Branges spaces","authors":"Luis O. Silva, Julio H. Toloza","doi":"10.1080/17476933.2023.2283879","DOIUrl":"https://doi.org/10.1080/17476933.2023.2283879","url":null,"abstract":"A de Branges space B is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under the map F(z)↦F(−z). Let KB(z,w) be the reproduci...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"22 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540588","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 : 2023-11-29DOI: 10.1080/17476933.2023.2280966
J.C. de Albuquerque, J.L. Santos
This paper focuses on the following class of fractional magnetic Schrödinger equations: (−Δ)Asu+V(x)u=g(|u|2)u+λ|u|q−2u,in RN, where (−Δ)As is the fractional magnetic Laplacian, A:RN→RN is the ma...
{"title":"Fractional magnetic Schrödinger equations with potential vanishing at infinity and supercritical exponents","authors":"J.C. de Albuquerque, J.L. Santos","doi":"10.1080/17476933.2023.2280966","DOIUrl":"https://doi.org/10.1080/17476933.2023.2280966","url":null,"abstract":"This paper focuses on the following class of fractional magnetic Schrödinger equations: (−Δ)Asu+V(x)u=g(|u|2)u+λ|u|q−2u,in RN, where (−Δ)As is the fractional magnetic Laplacian, A:RN→RN is the ma...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"10 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540586","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 : 2023-11-20DOI: 10.1080/17476933.2023.2280955
H. P. Bueno, O. H. Miyagaki, A. L. Vieira
We prove the existence of infinitely many radially symmetric solutions to the problem (−Δp)su=g(u)inRN,u∈Ws,p(RN), where s∈(0,1), 2≤p<∞, sp≤N, 2≤N∈N and (−Δp)s is the fractional p-Laplacian opera...
{"title":"Multiplicity of solutions for a scalar field equation involving a fractional p-Laplacian with general nonlinearity","authors":"H. P. Bueno, O. H. Miyagaki, A. L. Vieira","doi":"10.1080/17476933.2023.2280955","DOIUrl":"https://doi.org/10.1080/17476933.2023.2280955","url":null,"abstract":"We prove the existence of infinitely many radially symmetric solutions to the problem (−Δp)su=g(u)inRN,u∈Ws,p(RN), where s∈(0,1), 2≤p<∞, sp≤N, 2≤N∈N and (−Δp)s is the fractional p-Laplacian opera...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"19 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540585","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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