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EXISTENCE: 作品数：1351被引量：1560H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈珈王学臣杨作东冯春华王全义更多>>; 相关机构：南京师范大学北京物资学院北京大学广西师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金广东省自然科学基金更多>>

Dirac-harmonic maps with the trivial index: 《Science China Mathematics》2025年第4期917-938,共22页Jürgen Jost Linlin Sun Jingyong Zhu; supported by National Natural Science Foundation of China(Grant No.12201440);the Fundamental Research Funds for the Central Universities。; For a homotopy class[u]of maps between a closed Riemannian manifold M and a general manifold N,we want to find a Dirac-harmonic map with the map component in the given homotopy class.Most known results require the ind...; 关键词：Dirac-harmonic map Q-Dirac-harmonic map flow minimal kernel EXISTENCE Kahler manifolds

A Survey on the Existence of Harmonic Metrics on Vector Bundles: 《数学进展》2025年第2期390-404,共15页SHEN Zhenghan ZHANG Xi; Supported by National Key R and D Program of China(No.2020YFA0713100);NSFC(No.12141104)。; In this paper,we give a survey on the existence of Hermitian-Einstein metrics and harmonic metrics.; 关键词：Hermitian-Einstein metric harmonic metric holomorphic vector bundle non-Hermitian Yang-Mills bundle

LONG TIME EXISTENCE FOR THE NON-ISENTROPIC SLIGHTLY COMPRESSIBLE FLUID MODEL OF KORTEWEG TYPE: 《Acta Mathematica Scientia》2025年第2期416-445,共30页Qiangchang JU Jianjun XU; supported by the NSFC(12131007,12071044).; We investigate the long time existence of strong solutions to the initial value problem for the three-dimensional non-isentropic compressible Navier-Stokes-Korteweg system.Under the conditions of slight density and te...; 关键词：non-isentropic compressible Navier-Stokes-Korteweg equations low Mach num-ber limit long time existence strong solution

EXISTENCE OF SOME SPECIAL CONFORMALLY-KAHLER METRICS ON CERTAIN CP1 BUNDLES: 《Acta Mathematica Scientia》2025年第2期525-539,共15页Jing CHEN Daniel GUAN; supported by the Nature Science Foundation of China(12171140).; In this paper,we prove that for certain fiber bundles there is a k-Futaki-Ono conformally Kahler metric related to a metric in any given Kahler class for any k≥2.; 关键词：Hermitian metrics conformally-Kahler metrics complex manifolds scalar curvature fiber bundle almost homogeneous manifolds

ELLIPTIC EQUATION WITH CRITICAL EXPONENT AND DIPOLE POTENTIAL: EXISTENCE AND DECAY ESTIMATES: 《Acta Mathematica Scientia》2025年第2期636-658,共23页Yu SU Zhisu LIU Senli LIU; supported by the Natural Science Research Project of Anhui Educational Committee(2023AH040155);Zhisu Liu's research was supported by the Guangdong Basic and Applied Basic Research Foundation(2023A1515011679;2024A1515012704);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUG2106211;CUGST2).; The paper is concerned with a class of elliptic equation with critical exponent and Dipole potential.More precisely,we make use of the refined Sobolev inequality with Morrey norm to obtain the existence and decay prop...; 关键词：Dipole potential decay estimation Hardy Sobolev critical exponent Henon Sobolev critical exponent

Existence and uniqueness of mean field equilibrium in continuous bandit game: 《Science China(Information Sciences)》2025年第3期391-392,共2页Xiong WANG Yuqing LI Riheng JIA; supported by National Key Research and Development Program of China(Grant No.2022ZD0115301);Fundamental Research Funds for the Central Universities(Grant No.2042023kf0120);National Natural Science Foundation of China(Grant Nos.62272417,62202185,62302343);Guangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515110396)。; Multiarmed bandit(MAB)models are widely used for sequential decision-making in uncertain environments,such as resource allocation in computer communication systems.A critical challenge in interactive multiagent system...; 关键词：EQUILIBRIUM UNIQUENESS EXISTENCE

Solvability and optimal controls of neutral stochastic integro-differential equations driven by fractional Brownian motion: 《Journal of Control and Decision》2025年第1期93-100,共8页Ravikumar Kasinathan Ramkumar Kasinathan Varshini Sandrasekaran; In this article,the authors set up an optimal control of neutral stochastic integro-differential equations(NSIDEs)driven by fractional Brownian motion(fBm)in a Hilbert space by using Grimmer resolvent operators.Suffic...; 关键词：EXISTENCE SOLVABILITY optimal control fractional Brownian motion

Existence of multi-hump generalized homoclinic solutions for a class of reversible systems: 《Science China Mathematics》2025年第2期299-338,共40页Shengfu Deng Yan Zhou Jinsen Zhuang; supported by National Natural Science Foundation of China(Grant No.12171171);Natural Science Foundation of Fujian Province of China(Grant Nos.2022J01303 and 2023J01121);the Scientific Research Funds of Huaqiao University。; In this paper,we investigate a class of reversible dynamical systems in four dimensions.The spectrums of their linear operators at the equilibria are assumed to have a pair of positive and negative real eigenvalues an...; 关键词：homoclinic solutions multi-hump periodic solutions REVERSIBILITY

An Initial-Boundary Value Problem for a Modified Transitional Korteweg-de Vries Equation: 《Journal of Applied Mathematics and Physics》2025年第1期138-147,共10页Charles Bu; We study the following modified transitional Korteweg-de Vries equation ut+f(t)upux+uxxx=0, (x,t)∈R+×R+, (p≥2is an even integer) with initial value u(x,0)=g(x)∈H4(R+)and inhomogeneous boundary value u(0,t)=Q(t)∈C...; 关键词：Modified Transitional KdV Equation Initial-Boundary Value Problem Semi-Group Local and Global Existence

On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity.Ⅱ: 《Science China Mathematics》2024年第12期2789-2822,共34页Gang Li; supported by National Natural Science Foundation of China(Grant No.11701326);the Fundamental Research Funds of Shandong University(Grant No.2016HW008);the Young Scholars Program of Shandong University(Grant No.2018WLJH85)。; In this paper,we show that for an Sp(k+1)-invariant metric g on S^(4k+3)(k 1)close to the round metric,the conformally compact Einstein(CCE)manifold(M,g)with(S^(4k+3),[?])as its conformal infinity is unique up to isom...; 关键词：conformally compact Einstein manifolds prescribed conformal infinity uniqueness and existence of CCE filling-in two-point boundary value problem of nonlinear ODE systems volume comparison total variation

EXISTENCE