发布求助
文献互助 智能选刊 最新文献

Acta Mathematicae Applicatae Sinica, English Series最新文献

筛选
英文 中文
Existence of Multiple Solutions for p-biharmonic Problems with Critical Sobolev Exponent 临界Sobolev指数p-双调和问题多重解的存在性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0017-6
Cai-zhen Jiao, Rui-chang Pei
{"title":"Existence of Multiple Solutions for p-biharmonic Problems with Critical Sobolev Exponent","authors":"Cai-zhen Jiao,&nbsp;Rui-chang Pei","doi":"10.1007/s10255-025-0017-6","DOIUrl":"10.1007/s10255-025-0017-6","url":null,"abstract":"<div><p>In this paper, by using the concentration-compactness principle and a version of symmetry mountain pass theorem, we establish the existence and multiplicity of solutions to the following <i>p</i>-biharmonic problem with critical nonlinearity: </p><div><div><span>$$left{{matrix{{Delta _p^2u = f({x,u}) + mu {{vert u vert}^{{p^*} - 2}}u};&amp;;{{in};Omega,} cr {u={{partial u} over {partial v}} = 0};&amp;;{{text{on}};partial Omega,}}} right.$$</span></div></div><p> where Ω is a bounded domain in ℝ<sup><i>N</i></sup> (<i>N</i> ≥ 3) with smooth boundary, <span>(Delta_{p}^{2}u=Delta({vert Delta u vert}^{p-2} Delta u ), 1 &lt; p &lt; {N over 2}, p^{*}={N_{p}over N-2p}, {partial u over partial nu})</span> is the outer normal derivative, <i>μ</i> is a positive parameter and <i>f</i>: Ω × ℝ → ℝ is a Carathéodory function.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"727 - 740"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144656","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 Maximal Potential Energy of Biased Random Walks on Trees 树上有偏随机行走的最大势能
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0047-0
Yueyun Hu, Zhan Shi
{"title":"The Maximal Potential Energy of Biased Random Walks on Trees","authors":"Yueyun Hu,&nbsp;Zhan Shi","doi":"10.1007/s10255-025-0047-0","DOIUrl":"10.1007/s10255-025-0047-0","url":null,"abstract":"<div><p>The biased random walk on supercritical Galton–Watson trees is known to exhibit a multiscale phenomenon in the slow regime: the maximal displacement of the walk in the first <i>n</i> steps is of order (log <i>n</i>)<sup>3</sup>, whereas the typical displacement of the walk at the <i>n</i>-th step is of order (log <i>n</i>)<sup>2</sup>. Our main result reveals another multiscale property of biased walks: the maximal potential energy of the biased walks is of order (log <i>n</i>)<sup>2</sup> in contrast with its typical size, which is of order log <i>n</i>. The proof relies on analyzing the intricate multiscale structure of the potential energy.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"601 - 636"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144653","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
Neighbor Sum Distinguishing Total Choosability of 1-planar Graphs with Maximum Degree at Least 15 最大度至少为15的1-平面图的邻和区分总可选性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1148-x
Lin Sun, De-rong Sun, Xin Li, Guang-long Yu
{"title":"Neighbor Sum Distinguishing Total Choosability of 1-planar Graphs with Maximum Degree at Least 15","authors":"Lin Sun,&nbsp;De-rong Sun,&nbsp;Xin Li,&nbsp;Guang-long Yu","doi":"10.1007/s10255-024-1148-x","DOIUrl":"10.1007/s10255-024-1148-x","url":null,"abstract":"<div><p>Given a simple graph <i>G</i> = (<i>V</i>, <i>E</i>) and its (proper) total coloring <i>ϕ</i> with elements of the set {1, 2, ⋯, <i>k</i>}, let <i>w</i><sub><i>ϕ</i></sub>(<i>v</i>) denote the sum of the color of <i>v</i> and the colors of all edges incident with <i>v</i>. If for each edge <i>uv</i> ∈ <i>E</i>, <i>w</i><sub><i>ϕ</i></sub>(<i>u</i>) ≠ <i>w</i><sub><i>ϕ</i></sub>(<i>v</i>), we call <i>ϕ</i> a neighbor sum distinguishing total coloring of <i>G</i>. Let <i>L</i> = {<i>L</i><sub><i>x</i></sub> ∣ <i>x</i> ∈ <i>V</i> ⋃ <i>E</i>} be a set of lists of real numbers, each of size <i>k</i>. The neighbor sum distinguishing total choosability of <i>G</i> is the smallest <i>k</i> for which for any specified collection of such lists, there exists a neighbor sum distinguishing total coloring using colors from <i>L</i><sub><i>x</i></sub> for each <i>x</i> ∈ <i>V</i> ⋃ <i>E</i>, and we denote it by <span>(text{ch}_{sum}^{primeprime}(G))</span>. The known results of neighbor sum distinguishing total choosability are mainly about planar graphs. In this paper, we focus on 1-planar graphs. A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. We prove that <span>(text{ch}_{sum}^{primeprime}(G)leqDelta+4)</span> for any 1-planar graph <i>G</i> with Δ ≥ 15, where Δ is the maximum degree of <i>G</i>.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"898 - 914"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144609","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
Geometric Ergodicity and β-mixing of the Periodic Multivariate BEKK-GARCH Model 周期多元BEKK-GARCH模型的几何遍历性与β-混合
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0012-y
Farid Boussama, Hafida Guerbyenne, Khedidja Serier Abdallah
{"title":"Geometric Ergodicity and β-mixing of the Periodic Multivariate BEKK-GARCH Model","authors":"Farid Boussama,&nbsp;Hafida Guerbyenne,&nbsp;Khedidja Serier Abdallah","doi":"10.1007/s10255-025-0012-y","DOIUrl":"10.1007/s10255-025-0012-y","url":null,"abstract":"<div><p>This paper introduces the new class of periodic multivariate GARCH models in their periodic BEKK specification. Semi-polynomial Markov chains combined with algebraic geometry are used to obtain some properties like irreducibility. We impose weak conditions to obtain the strict periodic stationarity and the geometric ergodicity of the process, via the theory of positive linear operators on a cone: it is supposed that zero belongs to the support of the driving noise density which is absolutely continuous with respect to the Lebesgue measure and the spectral radius of a matrix built from the periodic coefficients of the model is smaller than one.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"876 - 897"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144654","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 Pricing Model of Airbag Options with Discrete Monitoring 具有离散监测的安全气囊选择定价模型
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1028-4
Min Hu, Shui-yi Hu, Cong Qin, Fan Zhou
{"title":"A Pricing Model of Airbag Options with Discrete Monitoring","authors":"Min Hu,&nbsp;Shui-yi Hu,&nbsp;Cong Qin,&nbsp;Fan Zhou","doi":"10.1007/s10255-024-1028-4","DOIUrl":"10.1007/s10255-024-1028-4","url":null,"abstract":"<div><p>In this paper, we propose a pricing model of airbag options with discrete monitoring, time-varying barriers, early exercise opportunities, and other popular features simultaneously. We show that the option value is a viscosity solution of a PDE system. In particular, a closed-form solution is obtained in the classic Black-Scholes economy with no early exercise opportunities. For the general case, we develop a numerical algorithm and conduct an extensive numerical analysis after calibrating the model to the CSI 500 index in China. Greek letters, dynamic hedging, and assessment of investing in airbag options are also studied.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"818 - 846"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144607","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 Terwilliger Algebras of Bipartite Q-polynomial Distance-regular Graphs 二部q多项式距离正则图的Terwilliger代数
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0005-x
Li-hang Hou, Bo Hou, Suo-gang Gao
{"title":"The Terwilliger Algebras of Bipartite Q-polynomial Distance-regular Graphs","authors":"Li-hang Hou,&nbsp;Bo Hou,&nbsp;Suo-gang Gao","doi":"10.1007/s10255-025-0005-x","DOIUrl":"10.1007/s10255-025-0005-x","url":null,"abstract":"<div><p>Let Γ denote a bipartite <i>Q</i>-polynomial distance-regular graph with vertex set <i>X</i>, valency <i>k</i> ≥ 3 and diameter <i>D</i> ≥ 3. Let <i>A</i> be the adjacency matrix of Γ and let <i>A</i>*:= <i>A</i>*(<i>x</i>) be the dual adjacency matrix of Γ with respect to a fixed vertex <i>x</i> ∈ <i>X</i>. Let <i>T</i>:= <i>T</i>(<i>x</i>) denote the Terwilliger algebra of Γ generated by <i>A</i> and <i>A</i>*. In this paper, we first describe the relations between <i>A</i> and <i>A</i>*. Then we determine the dimensions of both <i>T</i> and the center of <i>T</i>, and moreover we give a basis of <i>T</i>.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"859 - 875"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144606","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
Existence of Solutions for a Fractional Relativistic Schrödinger Equation with Indefinite Potentials 具有不定势的分数阶相对论Schrödinger方程解的存在性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1031-9
Jun Wang, Li Wang, Qiao-cheng Zhong
{"title":"Existence of Solutions for a Fractional Relativistic Schrödinger Equation with Indefinite Potentials","authors":"Jun Wang,&nbsp;Li Wang,&nbsp;Qiao-cheng Zhong","doi":"10.1007/s10255-024-1031-9","DOIUrl":"10.1007/s10255-024-1031-9","url":null,"abstract":"<div><p>This paper is devoted to the following fractional relativistic Schrödinger equation: </p><div><div><span>$$(-Delta+m^{2})^{s}u+V(x)u=f(x,u),qquad xinmathbb{R}^{N},$$</span></div></div><p> where (−Δ + <i>m</i><sup>2</sup>)<sup><i>s</i></sup> is the fractional relativistic Schrödinger operator, <i>s</i> ∈ (0, 1), <i>m</i> &gt; 0, <i>V</i>: ℝ<sup><i>N</i></sup> → ℝ is a continuous potential and <i>f</i>: ℝ<sup><i>N</i></sup> × ℝ → ℝ is a superlinear continuous nonlinearity with subcritical growth. We consider the case where the potential <i>V</i> is indefinite so that the relativistic Schrödinger operator (−Δ + <i>m</i><sup>2</sup>)<sup><i>s</i></sup> + <i>V</i> possesses a finite-dimensional negative space. With the help of extension method and Morse theory, the existence of a nontrivial solution for the above problem is obtained.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"847 - 858"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144608","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 Boundedness of the Pullback Attractor for a 2D Micropolar Fluid Flows 二维微极流体回拉吸引子的有界性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1057-z
Wen-long Sun, Chun-lin Lai, Yun-yun Liang
{"title":"The Boundedness of the Pullback Attractor for a 2D Micropolar Fluid Flows","authors":"Wen-long Sun,&nbsp;Chun-lin Lai,&nbsp;Yun-yun Liang","doi":"10.1007/s10255-024-1057-z","DOIUrl":"10.1007/s10255-024-1057-z","url":null,"abstract":"<div><p>The purpose of this work is to investigate the boundedness of the pullback attractors for the micropolar fluid flows in two-dimensional unbounded domains. Exactly, the <i>H</i><sup>1</sup>-boundedness and <i>H</i><sup>2</sup>-boundedness of the pullback attractors are established when the external force <i>F</i>(<i>t</i>, <i>x</i>) has different regularity with respect to time variable, respectively.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"806 - 817"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144612","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
Irreversible Investment under Endowment Constraints 禀赋约束下的不可逆投资
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-024-1056-0
Han-wu Li
{"title":"Irreversible Investment under Endowment Constraints","authors":"Han-wu Li","doi":"10.1007/s10255-024-1056-0","DOIUrl":"10.1007/s10255-024-1056-0","url":null,"abstract":"<div><p>In this paper, we study the problem of irreversible investment under endowment constraints. We first establish the existence and uniqueness of the result and then demonstrate the necessity and sufficient conditions for optimality. Based on this condition, we provide a characterization for optimal investment plans, which can be obtained by the so-called base capacity solving a backward equation. We may obtain explicit solutions for certain typical cases.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"710 - 726"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144651","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
Global Solutions to the Damped Incompressible Magnetohydrodynamics System without Dissipation 无耗散的阻尼不可压缩磁流体动力学系统的全局解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-06-24 DOI: 10.1007/s10255-025-0011-z
Xu-long Qin, Hua Qiu, Zheng-an Yao
{"title":"Global Solutions to the Damped Incompressible Magnetohydrodynamics System without Dissipation","authors":"Xu-long Qin,&nbsp;Hua Qiu,&nbsp;Zheng-an Yao","doi":"10.1007/s10255-025-0011-z","DOIUrl":"10.1007/s10255-025-0011-z","url":null,"abstract":"<div><p>In this paper, we consider the Cauchy problem of the <i>d</i>-dimensional damping incompressible magnetohydrodynamics system without dissipation. Precisely, this system includes a velocity damped term and a magnetic damped term. We establish the existence and uniqueness of global solutions to this damped system in the critical Besov spaces by means of the Fourier frequency localization and Bony paraproduct decomposition.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 3","pages":"666 - 680"},"PeriodicalIF":0.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144605","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信