本刊英文版Vol.33(2017),No.1论文摘要（英文）

<正>Real Submanifolds in Complex Spaces Valentin BURCEA Abstract Let(z_(11),...,z_(1N),…,z_(m1),…,z_(mN),w_(11),…,w_(mm))be the coordinates in C~(mN+m~2).In this note we prove the analogue of the Theorem of Moser in the case of the real-analytic submanifold M defined as follows W=ZZ~t+O(3),where W={w_(ij)}_(1≤i,j≤m)and Z={z_(ij)}_(1≤i≤m,1≤j≤N).We prove that M is biholomorphically equivalent to the model W=ZZ~t if and only if is formally equivalent to it.     

本刊英文版Vol.33(2017),No.5论文摘要（英文）

正New Partial Geometric Difference Sets and Partial Geometric Difference Families Jerod MICHELAbstract Using Galois rings and Galois fields,we construct several infinite classes of partial geometric difference sets,and partial geometric difference families,with new parameters.Furthermore,these partial geometric difference sets(and partial geometric difference families)     

本刊英文版Vol.33(2017),No.6论文摘要（英文）

正A Comparison between the Metric Dimension and Zero Forcing Number of Trees and Unicyclic Graphs Linda EROH Cong X.KANG Eunjeong YI Abstract The metric dimension dim(G)of a graph G is the minimum number of vertices such that every vertex of G is uniquely determined by its vector of distances to the chosen vertices.The zero forcing number Z(G)of a graph G is the minimum cardinality of a set S of     

本刊英文版Vol.33(2017),No.8论文摘要（英文）

正Nonlinear Branching Processes with Immigration Pei Sen LI Abstract The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures.Some criteria for the regularity,recurrence,ergodicity and strong ergodicity of the process are then established.     

本刊英文版Vol.33(2017),No.11论文摘要（英文）

正Multilinear Singular Integral Operators with Generalized Kernels and Their Multilinear Commutators Yan LIN Ya Yuan XIAO Abstract In this paper,the authors study a class of multilinear singular integral operators with generalized kernels and their multilinear commutators with BMO functions.By establishing the sharp maximal estimates,the boundedness on product of weighted Lebesgue spaces and product of variable exponent Lebesgue spaces is obtained,respectively.Moreover,the endpoint estimate of this     

本刊英文版Vol.33(2017),No.12论文摘要（英文）

正Rees-Shishikura's Theorem for Geometrically Finite Rational Maps Wen Qiang SHEN Abstract In this paper,we generalize Rees-Shishikura's theorem to the class of geometrically finite rational maps.On Meromorphic Solutions of a Certain Type of Nonlinear Differential Equations Xiao Qing LU Liang Wen LIAO Jun WANG Abstract We consider transcendental meromorphic solutions with N(r,f)=S(r,f)of the following type of nonlinear differential equations:f~n+P_(n-2)(f)=p_1(z)e~(α_1(z)+p_2(z)e~     

本刊英文版Vol.33(2017),No.7论文摘要（英文）

正On the Chow Groups of Certain Cubic Fourfolds Robert LATERVEER Abstract This note is about the Chow groups of a certain family of smooth cubic fourfolds.This family is characterized by the property that each cubic fourfold X in the family has an involution such that the induced involution on the Fano variety F of lines in X is symplectic     

本刊英文版Vol.32(2016),No.2论文摘要（英文）

正Some Specific Unboundedness Property in Smoothness Morrey Spaces.The Non-existence of Growth Envelopes in the Subcritical Case Dorothee D.HAROSKE Susana D.MOURA Abstract We study smoothness spaces of Morrey type on R~n and characterise in detail those situations when such spaces of type A_(p,q)~(s,r)(R~n)or A_(u,p,q)~s(R~n)are not embedded into L_∞(R~n).We can show that in the so-called sub-critical,proper Morrey case their growth envelope function     

本刊英文版Vol.36(2020),No.2论文摘要（英文）

正Leibniz Conformal Algebras of Rank Two Zhi Xiang WU Abstract We classify all Leibniz conformal algebras of rank two.Transportation Cost Inequalities for Stochastic Reaction-Diffusion Equations with Levy Noises and Non-Lipschitz Reaction Terms Yu Tao MA Ran WANG Abstract For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W_1H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L~1-metric.The proofs are based on the Galerkin approximations.     

本刊英文版Vol.39(2023),No.2论文摘要（英文）

<正>Boundary Lipschitz Regularity of Solutions for Semilinear Elliptic Equations in Divergence Form Jing Qi LIANG Li He WANG Chun Qin ZHOU Abstract In this paper,we consider the pointwise boundary Lipschitz regularity of solutions for the semilinear elliptic equations in divergence form mainly under some weaker assumptions on nonhomogeneous term and the boundary.If the domain satisfies C^1,Dini condition at a boundary point,and the nonhomogeneous term satisfies Dini continuity con...     

本刊英文版Vol.34(2018),No.2论文摘要（英文）

正Solutions of the Generalized Lennard-Jones SystemBo Wen LIU Yi Ming LONG Chong Chun ZENGAbstract In this paper,we study solution structures of the following generalized LennardJones system in R~n,     

本刊英文版Vol.35(2019),No.12论文摘要（英文）

Asymptotic and Partial Asymptotic Hankel Operators on H^2(D^n)Anuradha GUPTA Bhawna GUPTA Abstract In this paper,we generalize the concept of asymptotic Hankel operators on H^2(D)to the Hardy space H^2(D^n)(over polydisk)in terms of asymptotic Hankel and partial asymptotic Hankel operators and investigate some properties in case of its weak and strong convergence.     

本刊英文版Vol.34(2018),No.5论文摘要（英文）

正Global Phase Portraits of Quadratic Systems with a Complex Ellipse as Invariant Algebraic Curve Jaume LLIBRE Claudia VALLS Abstract In this paper,we study a new class of quadratic systems and classify all its phase portraits.More precisely,we characterize the class of all quadratic polynomial differential systems     

本刊英文版Vol.34(2018),No.9论文摘要（英文）

正~~     

本刊英文版Vol.31(2015),No.4论文摘要（英文）

<正>Nonorientable Genera of Petersen Powers Wen Zhong LIU Ting Ru SHEN Yi Chao CHEN Abstract In the paper,we prove that for every integern≥1,there exists a Petersen power P~n with nonorientable genus and Euler genus precisely n.which improves the upper bound of Mohar and Vodopivec's result[J.Graph Theory,67,1-8(2011)]that for every integer k(2≤k≤n-1),a Petersen power P~n exists with nonorientable genus and Euler genus precisely k.Polynomials with Palindromic and Unimodal Coefficients     

本刊英文版Vol.32(2016),No.8论文摘要（英文）

正A New Functor from D_5-Mod to E_6-Mod Xiao Ping XU Abstract We find a new representation of the simple Lie algebra of type E_6 on the polynomial algebra in 16 variables,which gives a fractional representation of the corresponding Lie group on 16-dimensional space.Using this representation and Shen's idea of mixed product,we construct a new functor from D_5-Mod to E_6-Mod.A condition for the functor to map a     

本刊英文版Vol.36(2020),No.4论文摘要（英文）

正A Weighted Trudinger-Moser Inequality on R~N and Its Application to Grushin Operator Jia Jun WANG Qiao Hua YANGAbstract Let x=(x′,x″) with x′∈R~k and x″∈R~(N-k)andΩbe a x′-symmetric and bounded domain in R~N (N≥2).We show that if 0≤a≤k-2,then there exists a positive constant C 0 such that for all x′-symmetric function u∈C_0~∞(Ω) with∫_Ω|▽u(x)|~(N-a)|x′|~(-a)dx≤1,the following uniform inequality holds     

本刊英文版Vol.35(2019),No.6论文摘要（英文）

正~~     

本刊英文版Vol.36(2020),No.6论文摘要（英文）

正Moduli of Polarized Calabi-Yau Pairs Janos KOLLAR Chen Yang XU Abstract We prove that the irreducible components of the moduli space of polarized CalabiYau pairs are projective.Projectively Flat Singular Square Metrics with Constant Flag Curvature Guang Zu CHEN Xin Yue CHENG Abstract In this paper,we study and characterize locally projectively flat singular square     

本刊英文版Vol.34(2018),No.10论文摘要（英文）

正~~