CONCAVITY

作品数：28被引量：24H指数：3
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Boundary Points,Minimal L^(2)Integrals and Concavity PropertyⅢ—Linearity on Riemann Surfaces and Fibrations over Open Riemann Surfaces
《Acta Mathematica Sinica,English Series》2024年第9期2091-2152,共62页Qi An GUAN Zhi Tong MI Zheng YUAN 
supported by National Key R&D Program of China(Grant No.2021YFA1003100);supported by NSFC(Grant Nos.11825101,11522101 and 11431013);supported by the Talent Fund of Beijing Jiaotong University;supported by China Postdoctoral Science Foundation(Grant Nos.BX20230402 and 2023M743719)。
In this article,we consider a modified version of minimal L^(2) integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points,and obtain a concavity property of the modified version.As...
关键词：Minimal L^(2)integrals plurisubharmonic functions boundary points weakly pseudoconvex Kähler manifold 
Analysis of the inflection points of height-diameter models
《Forest Ecosystems》2024年第4期414-422,共9页Tzeng Yih Lam Mark J.Ducey 
The inflection point is an important feature of sigmoidal height-diameter(H-D)models.It is often cited as one of the properties favoring sigmoidal model forms.However,there are very few studies analyzing the inflectio...
关键词：CONCAVITY Forest inventory and analysis Generalized height-diameter models Growth functions Height-diameter functions Mixed-effects modeling Points of inflection Species-specific models 
Boundary points, minimal L^(2) integrals and concavity property Ⅱ: Weakly pseudoconvex Kähler manifolds
《Science China Mathematics》2024年第7期1665-1718,共54页Qi’an Guan Zhitong Mi Zheng Yuan 
supported by National Key R&D Program of China (Grant No. 2021YFA1003100);supported by National Natural Science Foundation of China (Grant Nos. 11825101, 11522101, and 11431013);supported by the Talent Fund of Beijing Jiaotong University;supported by China Postdoctoral Science Foundation (Grant Nos. BX20230402 and 2023M743719)。
In this paper, we consider minimal L^(2) integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex K?hler manifolds with Lebesgue measurable gain related to modules at boundary points of the ...
关键词：minimal L^(2)integrals plurisubharmonic functions boundary points weakly pseudoconvex K?hler manifold 
Concavity Property of Minimal L^(2)Integrals with Lebesgue Measurable GainⅣ:Product of Open Riemann Surfaces
《Peking Mathematical Journal》2024年第1期91-154,共64页Qi’an Guan Zheng Yuan 
supported by National Key R&D Program of China 2021YFA1003100,NSFC-11825101,NSFC-11522101 and NSFC-11431013.
In this article,we present characterizations of the concavity property of minimal L^(2)integrals degenerating to linearity in the case of products of analytic subsets on products of open Riemann surfaces.As applicatio...
关键词：Plurisubharmonic function Multiplier ideal sheaf Minimal L^(2)integral CONCAVITY Optimal L^(2)extension theorem 
SEMI-PROXIMAL POINT METHOD FOR NONSMOOTH CONVEX-CONCAVE MINIMAX OPTIMIZATION
《Journal of Computational Mathematics》2024年第3期617-637,共21页Yuhong Dai Jiani Wang Liwei Zhang 
supported by the Natural Science Foundation of China(Grant Nos.11991021,11991020,12021001,11971372,11971089,11731013);by the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA27000000);by the National Key R&D Program of China(Grant Nos.2021YFA1000300,2021YFA1000301).
Minimax optimization problems are an important class of optimization problems arising from modern machine learning and traditional research areas.While there have been many numerical algorithms for solving smooth conv...
关键词：Minimax optimization Convexity-concavity Global convergence Rate of con-vergence Locally metrical subregularity 
Concavity of Minimal L^(2) Integrals Related to Multiplier Ideal Sheaves被引量：2
《Peking Mathematical Journal》2023年第2期393-457,共65页Qi’an Guan Zhitong Mi 
The first author was supported by NSFC-11825101,NSFC-11522101 and NSFC-11431013.
In this article,we present the concavity of the minimal L^(2) integrals related to multiplier ideals sheaves on Stein manifolds.As applications,we obtain a necessary condition for the concavity degenerating to lineari...
关键词：Strong openness conjecture Multiplier ideal sheaf Plurisubharmonic function Sublevel set 
PROPERTIES OF SOLUTIONS TO A HARMONIC-MAPPING TYPE EQUATION WITH A DIRICHLET BOUNDARY CONDITION
《Acta Mathematica Scientia》2023年第3期1161-1174,共14页陈博 陈正茂 谢君辉 
The first author and the third author were supported by the National Natural Science Foundation of China (11761030);the Cultivation Project for High-Level Scientific Research Achievements of Hubei Minzu University (PY20002);The second author was supported by the China Postdoctoral Science Foundation (2021M690773)。
In the present paper, we consider the problem {-△u=u^(β_(1))|■u|^(β_(2)),in Ω,u=0,on ■Ω,u>0,in Ω,(0.1) where β_(1), β_(2) > 0 and β_(1) + β_(2) < 1, and Ω is a convex domain in R~n. The existence, uniquen...
关键词：Harmonic-Mappings type equation positive solution existence regularity α-concavity 
Concavity of minimal L^(2) integrals related to multiplier ideal sheaves on weakly pseudoconvex Kahler manifolds被引量：2
《Science China Mathematics》2022年第5期887-932,共46页Qi'an Guan Zhitong Mi 
supported by National Natural Science Foundation of China (Grant Nos. 11825101, 11522101 and 11431013)
In this paper,we present the concavity of the minimal L^(2)integrals related to multiplier ideal sheaves on the weakly pseudoconvex Kahler manifolds,which implies the sharp effectiveness results of the strong openness...
关键词：multiplier ideal sheaf plurisubharmonic function weakly pseudoconvex Kahler manifold sublevel set 
On the Quasi-Concavity of Equipment Sharing Games with Perishable Raw Materials
《Journal of Systems Science and Systems Engineering》2021年第6期649-666,共18页Jun Li Xiaoqiang Cai Yinlian Zeng Hairong Feng 
This work has been supported in part by the National Natural Science Foundation of China(NSFC),under grant No.71671146;the Leading Talent Program of Guangdong Province under Grant No.2016LJ06D703;the Shenzhen Science and Technology Innovation Committee under Grant No.JCYJ20210324115604012;National Social Science Foundation of China under Grant No.19XGL015.
We study the equipment sharing problem where a group of food&beverage companies share the same equipment of a contractor and wish to have their processing tasks coordinated such that the total cost is minimized.The ra...
关键词：Equipment sharing quasi-concave games perishable raw materials decay loss 
A Mathematical Modeling Method Elucidating the Integrated Gripping Performance of Ant Mandibles and Bio-inspired Grippers
《Journal of Bionic Engineering》2020年第4期732-746,共15页Wei Zhang Zike He Yu Sun Jianing Wu Zhigang Wu 
We appreciate Dr Huizeng Li from Department of Chemistry,Chinese Academy of Sciences who aided us in capturing the CLSM images on the concavity of the ant mandibles.We thank Miss Jiayi Wu from Sun Yat-Sen University for her contribution to drafting figures in this paper.This work was supported by the rescarch grant of Sun Yat-Sen University for Bairen Plan(Grant No.76200-18841223);the National Natural Science Foundation of China(Grant No.51905556).
The ability to grip unhatched eggs is a skill exploited by the ants Harpegnathos venator,as they care their brood in tunneled nests,which is of extreme difficulty to keep the eggs intact while gripping.In this paper w...
关键词：ant mandible bio-inspired grippers CONCAVITY kinematics workspace contact area 
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