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Improved hardy inequalities on Riemannian manifolds 黎曼流形上改进的hardy不等式
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-08-20 DOI: 10.1080/17476933.2023.2247998
Kaushik Mohanta, J. Tyagi
{"title":"Improved hardy inequalities on Riemannian manifolds","authors":"Kaushik Mohanta, J. Tyagi","doi":"10.1080/17476933.2023.2247998","DOIUrl":"https://doi.org/10.1080/17476933.2023.2247998","url":null,"abstract":"We study the following version of Hardy-type inequality on a domain $Omega$ in a Riemannian manifold $(M,g)$: $$ int{Omega}|nabla u|_g^prho^alpha dV_g geq left(frac{|p-1+beta|}{p}right)^pint{Omega}frac{|u|^p|nabla rho|_g^p}{|rho|^p}rho^alpha dV_g +int{Omega} V|u|^prho^alpha dV_g, quad forall uin C_c^infty (Omega). $$ We provide sufficient conditions on $p, alpha, beta,rho$ and $V$ for which the above inequality holds. This generalizes earlier well-known works on Hardy inequalities on Riemannian manifolds. The functional setup covers a wide variety of particular cases, which are discussed briefly: for example, $mathbb{R}^N$ with $p","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44419678","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
Conjugacy classification of bicomplex Möbius transformations 双复合体Möbius变换的共轭分类
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-08-16 DOI: 10.1080/17476933.2023.2241015
Zekun Li, Binlin Dai
{"title":"Conjugacy classification of bicomplex Möbius transformations","authors":"Zekun Li, Binlin Dai","doi":"10.1080/17476933.2023.2241015","DOIUrl":"https://doi.org/10.1080/17476933.2023.2241015","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46618869","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: 1
Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C3 C3中广义Hartogs三角形上Bergman投影的弱正则性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-08-10 DOI: 10.1080/17476933.2023.2244884
Adam B. Christopherson, Kenneth D. Koenig
{"title":"Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C3","authors":"Adam B. Christopherson, Kenneth D. Koenig","doi":"10.1080/17476933.2023.2244884","DOIUrl":"https://doi.org/10.1080/17476933.2023.2244884","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41621200","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
The uniqueness solution for a fractional φ-Laplacian Dirichlet problem and its spectrum 一类分数阶φ- laplace Dirichlet问题的唯一性解及其谱
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-26 DOI: 10.1080/17476933.2023.2236942
Abderrahmane Lakhdari, K. Tahri, N. B. Rhouma
{"title":"The uniqueness solution for a fractional φ-Laplacian Dirichlet problem and its spectrum","authors":"Abderrahmane Lakhdari, K. Tahri, N. B. Rhouma","doi":"10.1080/17476933.2023.2236942","DOIUrl":"https://doi.org/10.1080/17476933.2023.2236942","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46122158","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
Fractional nonhomogeneous system with Hardy-Littlewood-Sobolev critical nonlinearity 具有Hardy-Littlewood-Sobolev临界非线性的分数阶非齐次系统
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-24 DOI: 10.1080/17476933.2023.2236970
Y. Sang, Z. Han, Xue Yu
{"title":"Fractional nonhomogeneous system with Hardy-Littlewood-Sobolev critical nonlinearity","authors":"Y. Sang, Z. Han, Xue Yu","doi":"10.1080/17476933.2023.2236970","DOIUrl":"https://doi.org/10.1080/17476933.2023.2236970","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":"2015 6","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41305312","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
p-harmonic functions with nonlinear Neumann conditions on the sphere and measure data 球面和测量数据上具有非线性诺伊曼条件的p调和函数
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-24 DOI: 10.1080/17476933.2023.2236943
Natham Aguirre
{"title":"p-harmonic functions with nonlinear Neumann conditions on the sphere and measure data","authors":"Natham Aguirre","doi":"10.1080/17476933.2023.2236943","DOIUrl":"https://doi.org/10.1080/17476933.2023.2236943","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44745520","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
A uniqueness theorem for holomorphic curves on annulus sharing hypersurfaces 环空共享超曲面上全纯曲线的唯一性定理
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-20 DOI: 10.1080/17476933.2023.2234830
H. T. Phương, Inthavichit Padaphet
{"title":"A uniqueness theorem for holomorphic curves on annulus sharing hypersurfaces","authors":"H. T. Phương, Inthavichit Padaphet","doi":"10.1080/17476933.2023.2234830","DOIUrl":"https://doi.org/10.1080/17476933.2023.2234830","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47150921","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 transport and concentrated sources 一类具有输运和集中源的积分微分方程组的可解性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-09 DOI: 10.1080/17476933.2023.2229745
M. Efendiev, V. Vougalter
{"title":"On the solvability of some systems of integro-differential equations with transport and concentrated sources","authors":"M. Efendiev, V. Vougalter","doi":"10.1080/17476933.2023.2229745","DOIUrl":"https://doi.org/10.1080/17476933.2023.2229745","url":null,"abstract":": The article is devoted to the existence of solutions of a system of integro-differential equations involving the drift terms in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the non- Fredholm elliptic operators in unbounded domains. We emphasize that the study of the systems is more difficult than of the scalar case and requires to overcome more cumbersome technicalities. , ,","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48425345","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
Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities 组合非线性稳态量子Zakharov系统解的多重性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-02 DOI: 10.1080/17476933.2023.2229736
A. H. Benhana
{"title":"Multiplicity of solutions for the stationary quantum Zakharov system with combined nonlinearities","authors":"A. H. Benhana","doi":"10.1080/17476933.2023.2229736","DOIUrl":"https://doi.org/10.1080/17476933.2023.2229736","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46792741","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
Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains Hölder伪凸域上Dirichlet问题解的连续性
IF 0.9 4区 数学
Complex Variables and Elliptic Equations Pub Date : 2023-07-02 DOI: 10.1080/17476933.2023.2229746
Nguyen Van Trao, Nguyen Xuan Hong, Pham Nguyen Thu Trang
{"title":"Hölder continuity of solutions of the Dirichlet problem in pseudoconvex domains","authors":"Nguyen Van Trao, Nguyen Xuan Hong, Pham Nguyen Thu Trang","doi":"10.1080/17476933.2023.2229746","DOIUrl":"https://doi.org/10.1080/17476933.2023.2229746","url":null,"abstract":"","PeriodicalId":51229,"journal":{"name":"Complex Variables and Elliptic Equations","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46218324","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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