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EXTREMAL: 作品数：132被引量：120H指数：6; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：魏志强吴英毅赵逸才陈阳舟辛乐更多>>; 相关机构：中国科学院大学东南大学浙江大学华南师范大学更多>>; 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国家教育部博士点基金北京市自然科学基金更多>>

Anisotropic Moser-Trudinger Inequality Involving L^(n) Norm in the Entire Space R^(n): 《Acta Mathematica Sinica,English Series》2023年第12期2427-2451,共25页Ru Long XIE; Supported by Natural Science Foundation of China(Grant Nos.11526212,11721101,11971026);Natural Science Foundation of Anhui Province(Grant No.1608085QA12);Natural Science Foundation of Education Committee of Anhui Province(Grant Nos.KJ2016A506,KJ2017A454);Excellent Young Talents Foundation of Anhui Province(Grant No.GXYQ2020049)。; Let F:R^(n)-→[0,+∞)be a convex function of class C^(2)(R^(n)/{0})which is even and positively homogeneous of degree 1,and its polar F0 represents a Finsler metric on R^(n).The anisotropic Sobolev norm in W^(1,n)(R^(...; 关键词：Moser-Trudinger inequality anisotropic Sobolev norm blow up analysis extremal func-tion unbounded domain

Comparison and Extremal Results on Three Eccentricity-based Invariants of Graphs: 《Acta Mathematica Sinica,English Series》2020年第1期40-54,共15页Ke Xiang XU Kinkar Chandra DAS Xiao Qian GU; Supported by NNSF of China(Grant No.11671202);Sungkyun research fund,Sungkyunkwan University,2017;National Research Foundation funded by the Korean government(Grant No.2017R1D1A1B03028642); The first and second Zagreb eccentricity indices of graph G are defined as:E1(G)=∑(vi)∈V(G)εG(vi)~2,E2(G)=∑(vivj)∈E(G)εG(vi)εG(vj)whereεG(vi)denotes the eccentricity of vertex vi in G.The eccentric complexity ...; 关键词：Eccentricity(of vertex) first Zagreb eccentricity index second Zagreb eccentricity index eccentric complexity diameter

On Eccentric Connectivity Index and Connectivity: 《Acta Mathematica Sinica,English Series》2019年第7期1205-1216,共12页Vivian MUKUNGUNUGWA Simon MUKWEMBI; Let G be a finite connected graph. The eccentric connectivity index ξ^c(G) of G is defined as ξ^c(G)=∑v∈V(G)ec(υ)deg(υ), where ec(v) and deg(υ) denote the eccentricity and degree of a vertex v in G, respectivel...; 关键词：EXTREMAL GRAPH order DIAMETER VERTEX-CONNECTIVITY EDGE-CONNECTIVITY

Hardy–Littlewood–Sobolev Inequalities with the Fractional Poisson Kernel and Their Applications in PDEs: 《Acta Mathematica Sinica,English Series》2019年第6期853-875,共23页Lu CHEN Guozhen LU Chunxia TAO; partly supported by a US NSF grant;a Simons Collaboration grant from the Simons Foundation; The purpose of this paper is five-fold. First, we employ the harmonic analysis techniques to establish the following Hardy–Littlewood–Sobolev inequality with the fractional Poisson kernel on the upper half space ■ ...; 关键词：Existence of EXTREMAL functions Hardy–Littlewood–Sobolev INEQUALITY Moving plane method Poisson kernel

Sewing Homeomorphism and Conformal Invariants: 《Acta Mathematica Sinica,English Series》2017年第10期1321-1338,共18页Tao CHENG Hui Qiang SHI Shanshuang YANG; The first author is partially supported by National Natural Science Foundation of China(Grant Nos.11371268and 11471117);Science and Technology Commission of Shanghai Municipality(Grant No.13dz2260400);the third author is partially supported by National Natural Science Foundation of China(Grant No.11471117);by PERS of Emory; This paper is devoted to the study of some fundamental properties of the sewing home- omorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and re...; 关键词：Bi-Lipschitz bi-Holder quasicircle modulus reduced extremal distance

On n-Widths of a Sobolev Function Class in Orlicz Spaces被引量：1: 《Acta Mathematica Sinica,English Series》2015年第9期1475-1486,共12页Xiao Li WANG Ga Ridi WU; Supported by National Natural Science Foundation of China(Grant No.11161033); This paper considers the problem of n-widths of a Sobolev function class Ωr∞ determined by Pr（D） = DσПlj=1 （D2 - tj2I） in Orlicz spaces. The relationship between the extreme value problem and width theory is ...; 关键词：n-width extremal subspace optimal linear operator Orlicz space

Some Properties of Abnormal Extremals on Lie Groups: 《Acta Mathematica Sinica,English Series》2014年第12期2119-2136,共18页Ti Ren HUANG Xiao Ping YANG; Supported by National Natural Science Foundation of China(Grant Nos.11071119 and 11401531); Let G be a connected Lie group and D be a bracket generating left invariant distribution.In this paper,first,we prove that all sub-Riemannian minimizers are smooth in Lie groups if the distribution D satisfies [D,[D,D...; 关键词：EXTREMAL GEODESIC rigid curve Lie group

On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients被引量：11: 《Acta Mathematica Sinica,English Series》2013年第2期365-372,共8页Jian Ren LONG Peng Cheng WU Zheng ZHANG; Supported by National Natural Science Foundation of China(Grant No.11171080);Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07); In this paper, we consider the differential equation f＂＋ A（z）f＇＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi...; 关键词：Entire function deficient value Borel direction order

A Generalized Vector-valued Variational Principle in Fréchet Spaces: 《Acta Mathematica Sinica,English Series》2010年第11期2145-2156,共12页Jing Hui QIU Xin Qing YANG; Supported by National Natural Science Foundation of China (Grant No.10871141); In the framework of Frechet spaces, we give a generalized vector-valued Ekeland＇s variational principle, where the perturbation involves the subadditive functions of countable generating semi-norms. By modifying and ...; 关键词：Locally convex space Fr^chet space vector-valued variational principle extremal point DENSITY

Projective Blaschke Manifolds被引量：2: 《Acta Mathematica Sinica,English Series》2008年第9期1433-1448,共16页An Min LI Guo Song ZHAO Department of Mathematics,Sichuan University,Chengdu 610064,P.R.China; NKBRPC(2006CB805905);NSFC 10631050;RFDP(20060610004);NSFC 10771146; In this paper we define the concept of projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds.; 关键词：locally projectively flat manifolds equiaffine differential geometry projective Blaschke manifold projective Blaschke mean curvature extremal projective Blaschke manifold

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