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...
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Pub Date : 2024-05-10DOI: 10.1080/17476933.2024.2345673
R. Carlos, Gustavo S. A. Costa, Giovany M. Figuereido
{"title":"Concentration of solutions for a class of biharmonic and p-Laplacian equations","authors":"R. Carlos, Gustavo S. A. Costa, Giovany M. Figuereido","doi":"10.1080/17476933.2024.2345673","DOIUrl":"https://doi.org/10.1080/17476933.2024.2345673","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140990859","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 : 2024-05-02DOI: 10.1080/17476933.2024.2345674
R. Echarghaoui, Moussa Khouakhi, Mohamed Masmodi, Rachid Sersif
{"title":"Multiple positive solutions for a critical fractional\u0000 p\u0000 -Laplacian system with concave nonlinearities","authors":"R. Echarghaoui, Moussa Khouakhi, Mohamed Masmodi, Rachid Sersif","doi":"10.1080/17476933.2024.2345674","DOIUrl":"https://doi.org/10.1080/17476933.2024.2345674","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141020996","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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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}
Pub Date : 2024-04-28DOI: 10.1080/17476933.2024.2341768
Saber Ezzdini, Zagharide Zine El Abidine
We first derive sharp estimates on some potential functions on the half space R+n:={x=(x1,…,xn)∈Rn;xn>0}, n≥3. Then, these estimates are applied to demonstrate the existence of a positive solution...
{"title":"Estimating potential functions with applications to elliptic problems in half space","authors":"Saber Ezzdini, Zagharide Zine El Abidine","doi":"10.1080/17476933.2024.2341768","DOIUrl":"https://doi.org/10.1080/17476933.2024.2341768","url":null,"abstract":"We first derive sharp estimates on some potential functions on the half space R+n:={x=(x1,…,xn)∈Rn;xn>0}, n≥3. Then, these estimates are applied to demonstrate the existence of a positive solution...","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140832006","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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