Analysis and Mathematical Physics最新文献_第7页

Multiple nontrivial solutions for a double phase system with concave-convex nonlinearities in subcritical and critical cases 具有凹凸非线性的双相系统在次临界和临界情况下的多个非微妙解

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-11-06 DOI: 10.1007/s13324-024-00985-0

Yizhe Feng, Zhanbing Bai

引用次数: 0

Optimal temporal decay rates of solutions for combustion of compressible fluids 可压缩流体燃烧解决方案的最佳时间衰减率

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-11-06 DOI: 10.1007/s13324-024-00984-1

Shengbin Fu, Wenting Huang, Weiwei Wang

引用次数: 0

Normalized solutions to HLS upper critical focusing Choquard equation with a non-autonomous nonlocal perturbation 具有非自主非局部扰动的 HLS 上临界聚焦 Choquard 方程的归一化解

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-11-05 DOI: 10.1007/s13324-024-00979-y

Ziheng Zhang, Jianlun Liu, Hong-Rui Sun

{"title":"Normalized solutions to HLS upper critical focusing Choquard equation with a non-autonomous nonlocal perturbation","authors":"Ziheng Zhang, Jianlun Liu, Hong-Rui Sun","doi":"10.1007/s13324-024-00979-y","DOIUrl":"10.1007/s13324-024-00979-y","url":null,"abstract":"<div>This paper is concerned with the following HLS upper critical focusing Choquard equation with a non-autonomous nonlocal perturbation <div><div>$$begin{aligned} {left{ begin{array}{ll} -{Delta }u-mu (I_alpha *[h|u|^p])h|u|^{p-2}u-(I_alpha *|u|^{2^*_alpha })|u|^{2^*_alpha -2}u=lambda u text{ in } mathbb {R}^N, int _{mathbb {R}^N} u^2 dx = c, end{array}right. } end{aligned}$$</div></div>where (mu ,c>0), (N ge 3), (0<alpha <N), (2_alpha :=frac{N+alpha }{N}<p<2^*_alpha :=frac{N+alpha }{N-2}), (lambda in mathbb {R}) is a Lagrange multiplier, (I_alpha ) is the Riesz potential and (h:mathbb {R}^Nrightarrow (0,infty )) is a continuous function. Under a class of reasonable assumptions on h, we prove the existence of normalized solutions to the above problem for the case (frac{N+alpha +2}{N}le p<frac{N+alpha }{N-2}) and discuss its asymptotical behaviors as (mu rightarrow 0^+) and (crightarrow 0^+) respectively. When (frac{N+alpha }{N}<p<frac{N+alpha +2}{N}), we obtain the existence of one local minimizer after considering a suitable minimization problem.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587740","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

Existence and uniqueness results for a class of obstacle problem via Young’s measure theory 通过杨氏量纲理论求一类障碍问题的存在性和唯一性结果

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-11-02 DOI: 10.1007/s13324-024-00972-5

Mouad Allalou, Mohamed El Ouaarabi, Abderrahmane Raji

引用次数: 0

No eigenvectors embedded in the singular continuous spectrum of Schrödinger operators 薛定谔算子奇异连续谱中没有嵌入特征向量

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-30 DOI: 10.1007/s13324-024-00948-5

Kota Ujino

引用次数: 0

Generalized Lipschitz classes in uniform metric and q-Dunkl Fourier transforms 统一度量和 q-Dunkl 傅立叶变换中的广义 Lipschitz 类

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-29 DOI: 10.1007/s13324-024-00983-2

Sergey Volosivets

引用次数: 0

Decoupling of modes for low regularity hyperbolic systems 低正则双曲系统的模式解耦

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-23 DOI: 10.1007/s13324-024-00982-3

Hart F. Smith

引用次数: 0

On the Hardy number of Koenigs domains 关于柯尼希斯域的哈代数

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-22 DOI: 10.1007/s13324-024-00981-4

Manuel D. Contreras, Francisco J. Cruz-Zamorano, Maria Kourou, Luis Rodríguez-Piazza

引用次数: 0

Fractional Milne-type inequalities for twice differentiable functions for Riemann–Liouville fractional integrals 黎曼-刘维尔分式积分的二次微分函数的分式米尔恩型不等式

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-18 DOI: 10.1007/s13324-024-00980-5

Wali Haider, Hüseyin Budak, Asia Shehzadi

引用次数: 0

Notes on pseudo symmetric and pseudo Ricci symmetric generalized Robertson–Walker space-times 关于伪对称和伪利玛窦对称广义罗伯逊-沃克时空的说明

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2024-10-14 DOI: 10.1007/s13324-024-00978-z

Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki, Gabriel-Eduard Vîlcu

{"title":"Notes on pseudo symmetric and pseudo Ricci symmetric generalized Robertson–Walker space-times","authors":"Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki, Gabriel-Eduard Vîlcu","doi":"10.1007/s13324-024-00978-z","DOIUrl":"10.1007/s13324-024-00978-z","url":null,"abstract":"<div>We establish two key results regarding pseudo symmetric and pseudo Ricci symmetric space-times. Firstly, we demonstrate that in pseudo symmetric generalized Robertson-Walker space-times either the scalar curvature remains constant or the associated vector field (B_{i}) is irrotational. Secondly, in pseudo Ricci symmetric generalized Robertson-Walker space-times, we establish that either the scalar curvature is zero or the associated vector field (A_{i}) is irrotational. We identify the conditions to ensure both (B_{i}) and (A_{i}) of these manifolds are acceleration-free and vorticity-free. We provide evidence that a pseudo symmetric and pseudo Ricci symmetric GRW space-time can be described as a perfect fluid. In a pseudo symmetric space-time, the state equation is given by (p=frac{4-n}{ 2n-2}mu ), whereas in a pseudo Ricci symmetric space-time, the state equation takes the form (p=frac{3-n}{n-1}mu ), where p and (mu ) are the isotropic pressure and the energy density. It is noteworthy that if (n=4) , a pseudo symmetric space-time corresponds to the dust matter era, while a pseudo Ricci symmetric space-time corresponds to the phantom era.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00978-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142431066","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