Analysis and Mathematical Physics最新文献_第8页

Generalized Poisson kernel and solution of the Dirichlet problem for the radial Schrödinger equation 径向Schrödinger方程的广义泊松核及Dirichlet问题的解

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-07-08 DOI: 10.1007/s13324-026-01228-0

Víctor A. Vicente-Benítez

引用次数: 0

On the existence of Nehari ground states for the nonlinear Schrödinger equation on discrete graphs 离散图上非线性Schrödinger方程Nehari基态的存在性

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-07-03 DOI: 10.1007/s13324-026-01237-z

Setenay Akduman, Matthias Hofmann, Sedef Karakiliç

引用次数: 0

Bessel fractional calculus operators: perspective via Gaussian hypergeometric function 贝塞尔分数阶微积分算子：高斯超几何函数透视

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-07-01 DOI: 10.1007/s13324-026-01230-6

Zhengzhi Lu

引用次数: 0

Multiphase quadrature domains (existence and uniqueness) 多相正交域（存在性和唯一性）

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-30 DOI: 10.1007/s13324-026-01232-4

Pu-Zhao Kow, Henrik Shahgholian, Tomas Sjödin

{"title":"Multiphase quadrature domains (existence and uniqueness)","authors":"Pu-Zhao Kow, Henrik Shahgholian, Tomas Sjödin","doi":"10.1007/s13324-026-01232-4","DOIUrl":"10.1007/s13324-026-01232-4","url":null,"abstract":"<div>The primary goal of this paper is to give a precise definition and prove existence and uniqueness of multiphase quadrature domains for subharmonic functions, ensuring that the prescribed measures are supported in the interior of the resulting domains. The approach to proving existence is based on a variational framework, where we minimize an energy functional over so called segregated states. In this respect, we refine earlier results in this direction. However, we also show that this approach alone is not enough for two reasons. First it seems difficult to obtain existence results which ensure that the interior support condition is satisfied. And second it may happen, as we show by an example, that a multiphase quadrature domain exists but is not a minimizer of the energy functional. The main novelty of this work is the study of minimizers, when they exist, of the energy functional over a subset of the segregated states determined by a natural constraint associated with the prescribed measures. From this approach we are able to prove uniqueness, and also give sufficient conditions for existence. We also give an example showing that, unlike the energy minimization and partial balayage approaches which are equivalent in the one-phase case, this equivalence breaks down already in the two-phase setting.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01232-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fekete-Szegö inequality, coefficient estimates and construction methods for elastically starlike mappings on the unit ball of complex Banach spaces Fekete-Szegö复Banach空间单位球上弹性星形映射的不等式、系数估计和构造方法

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-29 DOI: 10.1007/s13324-026-01235-1

Mihai Aron

{"title":"Fekete-Szegö inequality, coefficient estimates and construction methods for elastically starlike mappings on the unit ball of complex Banach spaces","authors":"Mihai Aron","doi":"10.1007/s13324-026-01235-1","DOIUrl":"10.1007/s13324-026-01235-1","url":null,"abstract":"<div>This paper is devoted to the study of a particular type of starlike mappings, namely, elastically starlike mappings on the unit ball of complex Banach spaces. We first introduce the concept of elastically starlikeness on the unit ball (mathbb {B}) of a complex Banach space X, starting from the notion of elastically starlikeness in one complex variable, recently introduced by Aron [6]. In this more general setting, we present methods for constructing such mappings, using results for the class (mathcal {M}(mathbb {B})) and for starlike mappings. Furthermore, we establish strict inclusions between the classes of (alpha )-elastically starlike mappings for different values of the real parameter (alpha ), and between these and some classical classes of biholomorphic mappings. A central part of the paper is devoted to obtaining sharp coefficient estimates and Fekete-Szegö type inequalities for the class of elastically starlike mappings. We first consider the case of one complex variable, followed by the general setting of complex Banach spaces. Moreover, using the results obtained in the general case, we derive estimates for particular elastically starlike mappings, and for elastically starlike mappings on the unit polydisc (U^n) in (mathbb {C}^n).</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-026-01235-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cyclic polynomials in Dirichlet-type spaces of the unit bidisk 单位双盘dirichlet型空间中的循环多项式

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-29 DOI: 10.1007/s13324-026-01233-3

Rajkamal Nailwal, Aljaž Zalar

引用次数: 0

A uniqueness theorem on the inverse problem for the discontinuous Dirac operator 不连续狄拉克算子反问题的唯一性定理

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-29 DOI: 10.1007/s13324-026-01231-5

Lu Zhou, Yongxia Guo, Guangsheng Wei

引用次数: 0

On Well-posedness and stability for a Keller-Segel-Navier-Stokes system in Lorentz spaces over real hyperbolic spaces 实数双曲空间上Lorentz空间中Keller-Segel-Navier-Stokes系统的适定性与稳定性

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-29 DOI: 10.1007/s13324-026-01226-2

Dam Thi Ngoc Van, Pham Truong Xuan

{"title":"On Well-posedness and stability for a Keller-Segel-Navier-Stokes system in Lorentz spaces over real hyperbolic spaces","authors":"Dam Thi Ngoc Van, Pham Truong Xuan","doi":"10.1007/s13324-026-01226-2","DOIUrl":"10.1007/s13324-026-01226-2","url":null,"abstract":"<div>We establish the well-posedness and exponential stability of mild solutions for the Patlak-Keller-Segel-Navier-Stokes system on the real hyperbolic space (mathbb {H}^d(mathbb {R}), (dgeqslant 2)). We consider the system obtained by coupling a parabolic-elliptic Keller–Segel-type model with a Navier–Stokes-type equation. First, We employ the (L^p-L^q) estimates for both scalar and vectorial heat semigroups to derive useful interpolation inequalities, including (L^{p,r}-L^{q,r}) estimates and Yamazaki-type estimates on (mathbb {H}^d(mathbb {R})). Using these interpolation estimates, we establish the global well-posedness of mild solutions for the corresponding linear systems in the framework of Lorentz space (L^{p,r}(mathbb {H}^d)) for (d<p<2d) and (1leqslant r leqslant infty ). Then, we combine the existence results of linear systems with fixed-point arguments to obtain the well-posedness of mild solutions for the semilinear systems. In addition, we prove an exponential stability for mild solutions by using again the interpolation estimates and the Gronwall inequality. Finally, we also consider the well-posedness and stability for the systems in the weak-(L^p) spaces, i.e., (L^{p,infty }(mathbb {H}^d(mathbb {R}))) for the case (dgeqslant 3).</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Local Besov–Bourgain–Morrey Spaces: Nontriviality, Boundedness of Local Operators, Duality, and Interpolation 局部Besov-Bourgain-Morrey空间：非平凡性、局部算子的有界性、对偶性和插值

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-27 DOI: 10.1007/s13324-026-01225-3

Hao Peng, Dachun Yang, Yirui Zhao

{"title":"Local Besov–Bourgain–Morrey Spaces: Nontriviality, Boundedness of Local Operators, Duality, and Interpolation","authors":"Hao Peng, Dachun Yang, Yirui Zhao","doi":"10.1007/s13324-026-01225-3","DOIUrl":"10.1007/s13324-026-01225-3","url":null,"abstract":"<div>Let (0<qle ple rle infty ) and (tau in (0,infty ]). In this article, we introduce a local variant (mathcal {M}B_{q,r}^{p,tau }) of Besov–Bourgain–Morrey spaces (mathcal {M}dot{B}_{q,r}^{p,tau }), whose special case (tau =r) was originally introduced by J. Bourgain and has proved to play an important role in the study related to the Strichartz estimate and some partial differential equations. These local spaces (mathcal {M}B_{q,r}^{p,tau }) include Bourgain–Lebesgue, local Morrey, and amalgam spaces as special cases. We find the sufficient and necessary conditions, respectively, for their nontriviality, for (mathcal {M}dot{B}_{q,r}^{p,tau }) to be properly contained in (mathcal {M}B_{q,r}^{p,tau }), and also for both the boundedness and the Fefferman–Stein vector-valued maximal inequality about the local Hardy–Littlewood maximal operator on (mathcal {M}B_{q,r}^{p,tau }). Moreover, on (mathcal {M}B_{q,r}^{p,tau }) we study their diversity, their duality, and their interpolation in terms of Calderón products. Using the Calderón product and a new pointwise sparse domination, we obtain the boundedness of local fractional integrals from Calderón products to (mathcal {M}B_{q,r}^{p,tau }). Moreover, we also obtain the boundedness of local Calderón–Zygmund operators on (mathcal {M}B_{q,r}^{p,tau }).</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"16 4","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Pointwise rotation for homeomorphisms with integrable distortion and controlled compression 具有可积畸变和可控压缩的同胚的点向旋转

IF 1.3 3区数学

Analysis and Mathematical Physics Pub Date : 2026-06-26 DOI: 10.1007/s13324-026-01227-1

Lauri Hitruhin, Banhirup Sengupta

引用次数: 0