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Super-rigidity for holomorphic Segre maps 全形塞格雷映射的超刚性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-07-29 DOI: 10.1080/17476933.2024.2372096
Wei Chen, Tianzhi Hu, Wanke Yin
{"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}
引用次数: 0
Existence results for a class of singular p(x)-Kirchhoff equations 一类奇异 p(x)-Kirchhoff 方程的存在性结果
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-07-22 DOI: 10.1080/17476933.2024.2378316
Mustafa Avci
{"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}
引用次数: 0
On the solvability of some systems of integro-differential equations with and without a drift 论有漂移和无漂移的某些整微分方程系的可解性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-07-05 DOI: 10.1080/17476933.2024.2372105
Messoud Efendiev, Vitali Vougalter
{"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}
引用次数: 0
Weinstein-type Segal–Bargmann transform and its applications to partial differential equations 韦恩斯坦型西格尔-巴格曼变换及其在偏微分方程中的应用
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-05-30 DOI: 10.1080/17476933.2024.2356687
Fethi Soltani, Hanen Saadi
{"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}
引用次数: 0
Conformal mappings on the Grushin plane 格鲁欣平面上的共形映射
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-05-26 DOI: 10.1080/17476933.2024.2355968
Marcin Walicki
{"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}
引用次数: 0
Some refinements of the Fekete–Szegö inequalities for a class of biholomorphic mappings 一类双holomorphic映射的 Fekete-Szegö 不等式的一些改进
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-05-26 DOI: 10.1080/17476933.2024.2355153
Weikang Fang, Qinghua Xu
{"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}
引用次数: 0
Oscillation criteria of Kamenev-type for non-linear partial differential equations 非线性偏微分方程的卡梅涅夫型振荡准则
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-04-30 DOI: 10.1080/17476933.2024.2343393
Mustafa Fahri Aktas, Elif Ece Demir
{"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}
引用次数: 0
Regularity results for an anisotropic nonlinear Dirichlet problem 各向异性非线性 Dirichlet 问题的正则性结果
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-04-30 DOI: 10.1080/17476933.2024.2336975
Fessel Achhoud, G. Rita Cirmi
{"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}
引用次数: 0
Existence of solutions for nonlinear elliptic variational inequalities with L1 data 有 L1 数据的非线性椭圆变分不等式解的存在性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-04-28 DOI: 10.1080/17476933.2024.2343394
Qin Huang, Weilin Zou
{"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}
引用次数: 0
Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity 非标准增长非线性毛细现象引发的各向异性抛物 Ni-Serrin 型方程的解的存在性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2024-04-28 DOI: 10.1080/17476933.2024.2345666
Rabil Ayazoglu, Ebubekir Akkoyunlu, Zohreh Naghizadeh
{"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}
引用次数: 0
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