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SINGULARITY: 作品数：510被引量：568H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：王成彬肖海力曾军卢莎莎王小宁更多>>; 相关机构：上海大学北京理工大学中国地质大学中国科学院更多>>; 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国家教育部博士点基金中国博士后科学基金更多>>

Trudinger–Moser Inequalities on a Closed Riemann Surface with a Symmetric Conical Metric: 《Acta Mathematica Sinica,English Series》2024年第9期2263-2284,共22页Yu FANG Yun Yan YANG; Supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ23A010001)。; This is a continuation of our previous work(Ann.Sc.Norm.Super.Pisa Cl.Sci.,20,1295–1324,2020).Let(Σ,g)be a closed Riemann surface,where the metric g has conical singularities at finite points.Suppose G is a group wh...; 关键词：Trudinger-Moser inequality blow-up analysis conical singularity

Finiteness Conditions and Relative Singularity Categories被引量：1: 《Acta Mathematica Sinica,English Series》2022年第8期1436-1446,共11页Chun Xia ZHANG; Supported by National Natural Science Foundation of China(Grant No.11871125);Natural Science Foundation of Chongqing(Grant No.cstc2021jcyj-msxm X0048)。; We introduce the n-pure projective(resp.,injective)dimension of complexes in n-pure derived categories,and give some criteria for computing these dimensions in terms of the n-pure projective(resp.,injective)resolution...; 关键词：n-pure projective dimension n-pure injective dimension n-pure global dimension n-pure derived category n-pure singularity category

Analysis Aspects of Ricci Flow on Conical Surfaces: 《Acta Mathematica Sinica,English Series》2022年第5期807-857,共51页Hao YIN; Supported by NSFC(Grant Nos.11471300,11971451 and 2020YFA0713102)。; In this paper,we establish a framework for the analysis of linear parabolic equations on conical surfaces and use them to study the conical Ricci flow.In particular,we prove the long time existence of the conical Ricc...; 关键词：Ricci flow conical singularity

The Dynamics of Vector Fields with Singularities: 《Acta Mathematica Sinica,English Series》2022年第1期225-248,共24页Da Wei YANG; Supported by NSFC(Grant Nos.11671288,11822109,11790274)。; We give a brief survey on the dynamics of vector fields with singularities.The aim of this survey is not to list all results in this field,but only to introduce some results from several viewpoints and some technics.; 关键词：Vector filed SINGULARITY Morse–Smale HORSESHOE singular hyperbolicty

Regularity for a Class of Singular Complex Hessian Equations: 《Acta Mathematica Sinica,English Series》2021年第11期1709-1720,共12页Jia Xiang WANG Bin ZHOU; supported by the CSC(Grant No.201906320165);supported by NSFC(Grant Nos.11571018 and 11822101)。; In this paper,we study the regularity of the complex Hessian equation when the right hand has pole singularity.We show the Holder continuity of the solution to the Dirichlet problem.In particular,for the complex Monge...; 关键词：Complex Hessian equation SINGULARITY REGULARITY

Symmetry of Positive Solutions to the Coupled Fractional System with Isolated Singularities: 《Acta Mathematica Sinica,English Series》2021年第9期1437-1452,共16页Meng Hui LI Jin Chun HE Hao Yuan XU Mei Hua YANG; Supported by NSFC(Grant Nos.11971184,61873320 and 51836003)。; In this paper,we consider the following two-coupled fractional Laplacian system with two or more isolated singularities(-△)^(s)u=μ1u^(2q+1)+βu^(p1-1)v^(p2)(-△)^(s)v=μ2v(2q+1+βu^p1v^p2-1)in R(n)\Λ,u>0,u>0,where ...; 关键词：Fractional Laplacian system moving plane SYMMETRY SINGULARITY

Higher Genus FJRW Theory for Fermat Cubic Singularity: 《Acta Mathematica Sinica,English Series》2021年第8期1179-1204,共26页Xin WANG; Supported by National Science Foundation of China(Grant No.11601279);National Science Foundation of China(Grant No.12071255)。; In this paper,we study the higher genus FJRW theory of Fermat cubic singularity with maximal group of diagonal symmetries using Giventai formalism.As results,we prove the finite generation property and holomorphic ano...; 关键词：FJRW theory Saito-Givental theroy mirror symmetry finite generation holomorphic anomaly equation

Bi-Lyapunov St able Homoclinic Classes for C^(1)Generic Flows: 《Acta Mathematica Sinica,English Series》2021年第7期1023-1040,共18页Ru Song ZHENG; We study bi-Lyapunov stable homoclinic classes for a C^(1)generic flow on a closed Rieman-nian manifold and prove that such a homoclinic class contains no singularity.This enables a parallel study of bi-Lyapunov stabl...; 关键词：Bi-Lyapunov stable homoclinic class SINGULARITY dominated splitting linear cocycle

Type Ⅱ Blow-up in the 5-dimensional Energy Critical Heat Equation: 《Acta Mathematica Sinica,English Series》2019年第6期1027-1042,共16页Manuel del PINO Monica MUSSO Jun Cheng WEI; supported by a UK Royal Society Research Professorship and Fondo Basal CMM-Chile;partly supported by grants Fondecyt 1160135,Chile;partially supported by NSERC of Canada; We consider the Cauchy problem for the energy critical heat equation ■ in dimension n = 5. More precisely we find that for given points q_1, q_2,..., q_k and any sufficiently small T > 0 there is an initial condition...; 关键词：SINGULARITY formation BUBBLING phenomena CRITICAL PARABOLIC EQUATIONS

Continuous Subsonic-Sonic Flows in a Convergent Nozzle: 《Acta Mathematica Sinica,English Series》2018年第4期749-772,共24页Yuan Yuan NIE Chun Peng WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11571137 and 11601182); This paper concerns continuous subsonic-sonic potential flows in a two-dimensional conver- gent nozzle. It is shown that for a given nozzle which is a perturbation of a straight one, a given point on its wall where th...; 关键词：Continuous subsonic-sonic flow free boundary nonlocal boundary condition degeneracy singularity

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