Analysis and Mathematical Physics最新文献_第9页

On odd univalent harmonic mappings 关于奇数单值谐波映射

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-09-04 DOI: 10.1007/s13324-024-00964-5

Kapil Jaglan, Anbareeswaran Sairam Kaliraj

引用次数: 0

Feynman formulas for qp- and pq-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles 有限阿德尔上某些弗拉基米洛夫型时变哈密顿的 qp 和 pq 量化的费曼公式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-27 DOI: 10.1007/s13324-024-00965-4

Roman Urban

引用次数: 0

Two-component integrable extension of general heavenly equation 一般天体方程的两分量可积分扩展

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-20 DOI: 10.1007/s13324-024-00961-8

Wojciech Kryński, Artur Sergyeyev

引用次数: 0

Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind 修正的第一类洛梅尔函数的单调性模式和函数不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-17 DOI: 10.1007/s13324-024-00962-7

H. M. Zayed, K. Mehrez, J. Morais

引用次数: 0

Existence and multiplicity of solutions for the Schrödinger–Poisson equation with prescribed mass 具有规定质量的薛定谔-泊松方程的解的存在性和多重性

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-16 DOI: 10.1007/s13324-024-00963-6

Xueqin Peng

{"title":"Existence and multiplicity of solutions for the Schrödinger–Poisson equation with prescribed mass","authors":"Xueqin Peng","doi":"10.1007/s13324-024-00963-6","DOIUrl":"10.1007/s13324-024-00963-6","url":null,"abstract":"<div><p>In this paper, we study the existence and multiplicity for the following Schrödinger–Poisson equation </p><div><div><span>$$begin{aligned} {left{ begin{array}{ll} -Delta u+lambda u-kappa (|x|^{-1}*|u|^2)u=f(u),&{}text {in}~~{mathbb {R}}^{3}, u>0,~displaystyle int _{{mathbb {R}}^{3}}u^2dx=a^2, end{array}right. } end{aligned}$$</span></div></div><p>where <span>(a>0)</span> is a prescribed mass, <span>(kappa in {mathbb {R}}setminus {0})</span> and <span>(lambda in {mathbb {R}})</span> is an undetermined parameter which appears as a Lagrange multiplier. Our results are threefold: (i) for the case <span>(kappa <0)</span>, we obtain the normalized ground state solution for <span>(a>0)</span> small by working on the Pohozaev manifold, where <i>f</i> satisfies the <span>(L^2)</span>-supercritical and Sobolev subcritical conditions, and the behavior of the normalized ground state energy <span>(c_a)</span> is also obtained; (ii) we prove that the above equation possesses infinitely many radial solutions whose energy converges to infinity; (iii) for <span>(kappa >0)</span> and <span>(f(u)=|u|^{4}u)</span>, we revisit the Brézis–Nirenberg problem with a nonlocal perturbation and obtain infinitely many radial solutions with negative energy. Our results implement some existing results about the Schrödinger–Poisson equation in the <span>(L^2)</span>-constraint setting.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142222487","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

Analysing Milne-type inequalities by using tempered fractional integrals 利用回火分式积分分析米尔恩型不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-14 DOI: 10.1007/s13324-024-00958-3

Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci, Haibo Chen

引用次数: 0

Groundstates of a magnetic critical Choquard Poisson system with multiple potentials 具有多电势的磁临界乔夸德泊松系的基态

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-07 DOI: 10.1007/s13324-024-00959-2

Wenjing Chen, Zexi Wang

引用次数: 0

Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities 量子微积分的广义化和相应的赫米特-哈达马德不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-06 DOI: 10.1007/s13324-024-00960-9

Saira Bano Akbar, Mujahid Abbas, Hüseyin Budak

引用次数: 0

Some remarks on Shanks-type conjectures 关于香克斯类猜想的一些评论

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-05 DOI: 10.1007/s13324-024-00951-w

Christopher Felder

引用次数: 0

Schrödinger equation with finitely many (delta )-interactions: closed form, integral and series representations for solutions 具有有限多个 $$delta $$ 相互作用的薛定谔方程：解的闭合形式、积分和序列表示法

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-08-03 DOI: 10.1007/s13324-024-00957-4

Vladislav V. Kravchenko, Víctor A. Vicente-Benítez

{"title":"Schrödinger equation with finitely many (delta )-interactions: closed form, integral and series representations for solutions","authors":"Vladislav V. Kravchenko, Víctor A. Vicente-Benítez","doi":"10.1007/s13324-024-00957-4","DOIUrl":"10.1007/s13324-024-00957-4","url":null,"abstract":"<div><p>A closed form solution for the one-dimensional Schrödinger equation with a finite number of <span>(delta )</span>-interactions </p><div><div><span>$$begin{aligned} {textbf{L}}_{q,{mathfrak {I}}_{N}}y:=-y^{prime prime }+left( q(x)+sum _{k=1}^{N}alpha _{k}delta (x-x_{k})right) y=lambda y,quad 0<x<b,;lambda in {mathbb {C}} end{aligned}$$</span></div></div><p>is presented in terms of the solution of the unperturbed equation </p><div><div><span>$$begin{aligned} {textbf{L}}_{q}y:=-y^{prime prime }+q(x)y=lambda y,quad 0<x<b,;lambda in {mathbb {C}} end{aligned}$$</span></div></div><p>and a corresponding transmutation (transformation) operator <span>({textbf{T}}_{{mathfrak {I}}_{N}}^{f})</span> is obtained in the form of a Volterra integral operator. With the aid of the spectral parameter power series method, a practical construction of the image of the transmutation operator on a dense set is presented, and it is proved that the operator <span>({textbf{T}}_{{mathfrak {I}}_{N}}^{f})</span> transmutes the second derivative into the Schrödinger operator <span>({textbf{L}}_{q,{mathfrak {I}}_{N}})</span> on a Sobolev space <span>(H^{2})</span>. A Fourier-Legendre series representation for the integral transmutation kernel is developed, from which a new representation for the solutions and their derivatives, in the form of a Neumann series of Bessel functions, is derived.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 5","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929811","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