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":null,"pages":null},"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":null,"pages":null},"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 : 2024-07-17DOI: 10.1080/17476933.2024.2378313
Jian Liu, K. Kefi, Mohamed Karim Hamdani
{"title":"Existence of solutions for singular elliptic equations with mixed boundary conditions","authors":"Jian Liu, K. Kefi, Mohamed Karim Hamdani","doi":"10.1080/17476933.2024.2378313","DOIUrl":"https://doi.org/10.1080/17476933.2024.2378313","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829035","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 : 2024-07-11DOI: 10.1080/17476933.2024.2375558
A. Kowalski, I. I. Marchenko
{"title":"The size of the set on which an entire function is large","authors":"A. Kowalski, I. I. Marchenko","doi":"10.1080/17476933.2024.2375558","DOIUrl":"https://doi.org/10.1080/17476933.2024.2375558","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141657919","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":null,"pages":null},"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 : 2024-07-03DOI: 10.1080/17476933.2024.2373292
H. Matevossian
{"title":"On the generalized Farwig problem for a polyharmonic equation","authors":"H. Matevossian","doi":"10.1080/17476933.2024.2373292","DOIUrl":"https://doi.org/10.1080/17476933.2024.2373292","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682825","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 : 2024-06-10DOI: 10.1080/17476933.2024.2360948
Wentao Huang, Li Wang
{"title":"Sign-changing solitary waves for a quasilinear Schrödinger equation with general nonlinearity","authors":"Wentao Huang, Li Wang","doi":"10.1080/17476933.2024.2360948","DOIUrl":"https://doi.org/10.1080/17476933.2024.2360948","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141364584","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 : 2024-06-10DOI: 10.1080/17476933.2024.2360958
G. S. Costa, Giovany Figueiredo, S. I. Moreira, R. Ruviaro
{"title":"Existence of positive solution for a class of generalised Schrödinger equation with supercritical growth","authors":"G. S. Costa, Giovany Figueiredo, S. I. Moreira, R. Ruviaro","doi":"10.1080/17476933.2024.2360958","DOIUrl":"https://doi.org/10.1080/17476933.2024.2360958","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141362073","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":null,"pages":null},"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":null,"pages":null},"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}