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CONDITION: 作品数：1360被引量：2041H指数：15; 导出分析报告; 相关领域：理学更多>>; 相关作者：顾国华宋增民郭强李夏张天骄更多>>; 相关机构：东南大学北京理工大学中国科学院南京信息工程大学更多>>; 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国家高技术研究发展计划更多>>

OBSTACLE PROBLEMS ON RCD(K,N)METRIC MEASURE SPACES: 《Acta Mathematica Scientia》2023年第5期1925-1944,共20页林锶坍; supported by the National Key R&Dprogram of China(2021YFA1003001)。; In this paper,we solve the obstacle problems on metric measure spaces with generalized Ricci lower bounds.We show the existence and Lipschitz continuity of the solutions,and then we establish some regularities of the ...; 关键词：obstacle problem metric measure space Riemannian curvature-dimension condition

UTILITY BASIS OF CONSUMPTION AND INVESTMENT DECISIONS IN A RISK ENVIRONMENT: 《Acta Mathematica Scientia》2022年第6期2377-2398,共22页Kangping WU; Using expectations regarding utilities to make decisions in a risk environment hides a paradox,which is called the expected utility enigma.Moreover,the mystery has not been solved yet;an imagined utility function on t...; 关键词：VNM condition relative risk aversion tendency mean-variance utility systematicrisk

BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES被引量：1: 《Acta Mathematica Scientia》2022年第3期1191-1208,共18页Qianjun HE Xinfeng WU Dunyan YAN; supported by National Natural Science Foundation of China(11871452,12071473);the Beijing Information Science and Technology University Foundation(2025031)。; In this paper,we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear L^(r′,α)-Hörmander condition and their commutators with vector valued BMO functions ...; 关键词：Multilinear fractional integral L^(r′ α)-Höormander condition COMMUTATORS BMO spaces Morrey spaces multilinear Fourier multiplier

HOMOCLINIC SOLUTIONS OF NONLINEAR LAPLACIAN DIFFERENCE EQUATIONS WITHOUT AMBROSETTI-RABINOWITZ CONDITION: 《Acta Mathematica Scientia》2021年第3期712-718,共7页Antonella NASTASI Stepan TERSIAN Calogero VETRO; supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”, 2017。; The aim of this paper is to establish the existence of at least two non-zero homoclinic solutions for a nonlinear Laplacian difference equation without using AmbrosettiRabinowitz type-conditions. The main tools are mo...; 关键词：Difference equations homoclinic solutions non-zero solutions (p q)-Laplacian operator

COMPARISON THEOREMS FOR MULTI-DIMENSIONAL GENERAL MEAN-FIELD BDSDES: 《Acta Mathematica Scientia》2021年第2期535-551,共17页Juan LI Chuanzhi XING Ying PENG; supported in part by the NSF of P.R.China(11871037,11222110);Shandong Province(JQ201202);NSFC-RS(11661130148,NA150344);111 Project(B12023)。; In this paper we study multi-dimensional mean-field backward doubly stochastic differential equations(BDSDEs),that is,BDSDEs whose coefficients depend not only on the solution processes but also on their law.The first...; 关键词：Backward doubly stochastic differential equations MEAN-FIELD multi-dimensional comparison theorem continuous condition

L^P SOLUTION OF GENERAL MEAN-FIELD BSDES WITH CONTINUOUS COEFFICIENTS被引量：1: 《Acta Mathematica Scientia》2020年第4期1116-1140,共25页Yajie CHEN Chuanzhi XING Xiao ZHANG; supported in part by the NSFC(11222110,11871037);Shandong Province(JQ201202);NSFC-RS(11661130148,NA150344);111 Project(B12023)。; In this paper we consider one dimensional mean-field backward stochastic differential equations(BSDEs)under weak assumptions on the coefficient.Unlike[3],the generator of our mean-field BSDEs depends not only on the s...; 关键词：general mean-field backward stochastic differential equations monotonicity condition continuous condition uniformly continuous condition L^p solution

UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR A NON- AUTONOMOUS DYNAMICAL SYSTEM WITH A WEAK CONVERGENCE CONDITION被引量：1: 《Acta Mathematica Scientia》2020年第4期921-933,共13页Wenqiang ZHAO Yijin ZHANG; CTBU(KFJJ2018101);CTBU ZDPTTD 201909;Chongqing NSF(2019jcyj-msxm X0115);NSFC(11871122).; In this paper,we develop the criterion on the upper semi-continuity of random attractors by a weak-to-weak limit replacing the usual norm-to-norm limit.As an application,we obtain the convergence of random attractors ...; 关键词：non-autonomous random dynamical system random attractor upper semicontinuity weak convergence

GLOBALLY ATTRACTING SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS OF SOBOLEV TYPE: 《Acta Mathematica Scientia》2017年第5期1295-1318,共24页Van Hien LE Dinh Ke TRAN Trong Kinh CHU; supported by Vietnam National Foundation for Science and Technology Development(NAFOSTED)under grant number 101.02-2015.18; We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting...; 关键词：globally attracting solution impulsive condition nonlocal condition condensing map measure of non-compactness MNC-estimate

A NECESSARY AND A SUFFICIENT CONDITION FOR THE EXISTENCE OF THE POSITIVE RADIAL SOLUTIONS TO HESSIAN EQUATIONS AND SYSTEMS WITH WEIGHTS被引量：7: 《Acta Mathematica Scientia》2017年第1期47-57,共11页Dragos-Patru COVEI; In this article, we consider the existence of positive radial solutions for Hessian equations and systems with weights and we give a necessary condition as well as a sufficient condition for a positive radial solution...; 关键词：EXISTENCE Keller-Osserman condition k-Hessian equation and system

STABLE RECOVERY OF SIGNALS WITH THE HIGH ORDER D-RIP CONDITION被引量：2: 《Acta Mathematica Scientia》2016年第6期1721-1730,共10页谌稳固李亚玲; supported by National Natural Science Foundation of China(11271050 and 11371183); This paper establishes a high order condition on the restricted isometry property adapted to a frame D （D-RIF） for the signal recovery. It is shown that if the measurementmatrix A satisfies the D-RIP condition δtk ...; 关键词：compressed sensing D-restricted isometry property tight frame

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