Pub Date : 2024-07-29DOI: 10.1080/17476933.2024.2372096
Wei Chen, Tianzhi Hu, Wanke Yin
Let Hln and Hl,l′,nN be the complexifications of the real hyperquadrics in Cn and CN of signatures l and l′, respectively. We study local holomorphic Segre maps sending a piece of Hln into Hl,l′,nN...
{"title":"Super-rigidity for holomorphic Segre maps","authors":"Wei Chen, Tianzhi Hu, Wanke Yin","doi":"10.1080/17476933.2024.2372096","DOIUrl":"https://doi.org/10.1080/17476933.2024.2372096","url":null,"abstract":"Let Hln and Hl,l′,nN be the complexifications of the real hyperquadrics in Cn and CN of signatures l and l′, respectively. We study local holomorphic Segre maps sending a piece of Hln into Hl,l′,nN...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"52 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947463","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 : 2024-07-22DOI: 10.1080/17476933.2024.2378316
Mustafa Avci
In the present paper, we study a class of p(x)-Kirchhoff-type equations involving variable singularities. Using the Ekeland's variational principle, a constrained minimization and a global minimum ...
{"title":"Existence results for a class of singular p(x)-Kirchhoff equations","authors":"Mustafa Avci","doi":"10.1080/17476933.2024.2378316","DOIUrl":"https://doi.org/10.1080/17476933.2024.2378316","url":null,"abstract":"In the present paper, we study a class of p(x)-Kirchhoff-type equations involving variable singularities. Using the Ekeland's variational principle, a constrained minimization and a global minimum ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"72 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141786082","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 : 2024-07-05DOI: 10.1080/17476933.2024.2372105
Messoud Efendiev, Vitali Vougalter
We prove the existence of solutions for some integro-differential systems containing equations with and without drift terms in the H2 spaces by virtue of the fixed point technique when the elliptic...
{"title":"On the solvability of some systems of integro-differential equations with and without a drift","authors":"Messoud Efendiev, Vitali Vougalter","doi":"10.1080/17476933.2024.2372105","DOIUrl":"https://doi.org/10.1080/17476933.2024.2372105","url":null,"abstract":"We prove the existence of solutions for some integro-differential systems containing equations with and without drift terms in the H2 spaces by virtue of the fixed point technique when the elliptic...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"69 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141741488","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 : 2024-05-30DOI: 10.1080/17476933.2024.2356687
Fethi Soltani, Hanen Saadi
In this paper, we give some applications of the Weinstein-type Segal–Bargmann transform Bα in the field of partial differential equations, such as the time-dependent Schrödinger equation and heat C...
{"title":"Weinstein-type Segal–Bargmann transform and its applications to partial differential equations","authors":"Fethi Soltani, Hanen Saadi","doi":"10.1080/17476933.2024.2356687","DOIUrl":"https://doi.org/10.1080/17476933.2024.2356687","url":null,"abstract":"In this paper, we give some applications of the Weinstein-type Segal–Bargmann transform Bα in the field of partial differential equations, such as the time-dependent Schrödinger equation and heat C...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"42 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506616","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 : 2024-05-26DOI: 10.1080/17476933.2024.2355968
Marcin Walicki
We study conformal mappings in the Grushin plane and provide a number of their characterizations in terms of Sobolev mappings and their geometry. Furthermore, we connect conformality on the Grushin...
{"title":"Conformal mappings on the Grushin plane","authors":"Marcin Walicki","doi":"10.1080/17476933.2024.2355968","DOIUrl":"https://doi.org/10.1080/17476933.2024.2355968","url":null,"abstract":"We study conformal mappings in the Grushin plane and provide a number of their characterizations in terms of Sobolev mappings and their geometry. Furthermore, we connect conformality on the Grushin...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"67 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506660","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 : 2024-05-26DOI: 10.1080/17476933.2024.2355153
Weikang Fang, Qinghua Xu
Let B be the unit disk U in C or the unit ball of a general complex Banach space. In this paper, we obtain a refinement of the Fekete–Szegö inequality for the class of Sk+10(B) of mappings f for wh...
假设 B 是 C 中的单位盘 U 或一般复巴纳赫空间的单位球。在本文中，我们得到了对Sk+10(B)类映射f的Fekete-Szegö不等式的细化，该类映射f...
{"title":"Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings","authors":"Weikang Fang, Qinghua Xu","doi":"10.1080/17476933.2024.2355153","DOIUrl":"https://doi.org/10.1080/17476933.2024.2355153","url":null,"abstract":"Let B be the unit disk U in C or the unit ball of a general complex Banach space. In this paper, we obtain a refinement of the Fekete–Szegö inequality for the class of Sk+10(B) of mappings f for wh...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"39 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506617","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 : 2024-04-30DOI: 10.1080/17476933.2024.2343393
Mustafa Fahri Aktas, Elif Ece Demir
Using the technique of weighted integral averages, known in the oscillation theory of ordinary differential equations, we obtain new oscillation criteria for the non-linear partial differential equ...
利用常微分方程振荡理论中已知的加权积分平均技术，我们获得了非线性偏微分方程的新振荡准则。
{"title":"Oscillation criteria of Kamenev-type for non-linear partial differential equations","authors":"Mustafa Fahri Aktas, Elif Ece Demir","doi":"10.1080/17476933.2024.2343393","DOIUrl":"https://doi.org/10.1080/17476933.2024.2343393","url":null,"abstract":"Using the technique of weighted integral averages, known in the oscillation theory of ordinary differential equations, we obtain new oscillation criteria for the non-linear partial differential equ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"239 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172440","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 : 2024-04-30DOI: 10.1080/17476933.2024.2336975
Fessel Achhoud, G. Rita Cirmi
In this paper we consider the homogeneous Dirichlet problem associated to the model equation −div(a(x)|∇u|p−2∇u)−div(|u|(r−1)q+1|∇u|q−2∇u)=finΩ, where Ω is a bounded open subset of RN,N>2, 1
{"title":"Regularity results for an anisotropic nonlinear Dirichlet problem","authors":"Fessel Achhoud, G. Rita Cirmi","doi":"10.1080/17476933.2024.2336975","DOIUrl":"https://doi.org/10.1080/17476933.2024.2336975","url":null,"abstract":"In this paper we consider the homogeneous Dirichlet problem associated to the model equation −div(a(x)|∇u|p−2∇u)−div(|u|(r−1)q+1|∇u|q−2∇u)=finΩ, where Ω is a bounded open subset of RN,N>2, 1<q<...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"17 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140884412","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 : 2024-04-28DOI: 10.1080/17476933.2024.2343394
Qin Huang, Weilin Zou
This article addresses the regularizing effect of the interaction between the coefficient of the zero-order term and the datum f in some elliptic variational inequalities. Even if the datum f only ...
本文探讨了零阶项系数与某些椭圆变分不等式中的基准 f 之间的交互正则效应。即使基准 f 只 ...
{"title":"Existence of solutions for nonlinear elliptic variational inequalities with L1 data","authors":"Qin Huang, Weilin Zou","doi":"10.1080/17476933.2024.2343394","DOIUrl":"https://doi.org/10.1080/17476933.2024.2343394","url":null,"abstract":"This article addresses the regularizing effect of the interaction between the coefficient of the zero-order term and the datum f in some elliptic variational inequalities. Even if the datum f only ...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"25 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140842480","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}
We consider an initial boundary value problem for a class of anisotropic parabolic Ni-Serrin type equations with nonstandard nonlinearity in a bounded smooth domain with homogeneous Dirichlet bound...
{"title":"Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity","authors":"Rabil Ayazoglu, Ebubekir Akkoyunlu, Zohreh Naghizadeh","doi":"10.1080/17476933.2024.2345666","DOIUrl":"https://doi.org/10.1080/17476933.2024.2345666","url":null,"abstract":"We consider an initial boundary value problem for a class of anisotropic parabolic Ni-Serrin type equations with nonstandard nonlinearity in a bounded smooth domain with homogeneous Dirichlet bound...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"91 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140842439","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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