本刊英文版Vol.33(2017),No.2论文摘要（英文）

<正>L~p Estimates for Bi-parameter and Bilinear Fourier Integral Operators Qing HONG Lu ZHANG Abstract Fourier integral operators play an important role in Fourier analysis and partial differential equations.In this paper,we deal with the boundedness of the bilinear and biparameter Fourier integral operators,which are motivated by the study of one-parameter FIOs and bilinear and bi-parameter Fourier multipliers and pseudo-differential operators.We consider such FIOs when they have compact support in spatial variables.If they contain a real-valued phaseφ(x,ξ,η)which is jointly homogeneous in the frequency variablesξ,η,and amplitudes of order zero supported away from the axes and the anti-diagonal,we can show that the boundedness holds in the local-L~2 case.Some stronger boundedness results are also obtained under more     

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.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.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.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.35(2019),No.5论文摘要（英文）

正~~     

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.32(2016),No.5论文摘要（英文）

正Long Time Dynamics of the 3D Radial NLS with the Combined Terms Gui Xiang XU Jian Wei Yang Abstract In this paper,we study the scattering and blow-up dichotomy result of the radial solution to nonlinear Schr(o|¨)dinger equation(NLS)with the combined terms iu_t+△u=-|u|~4u+|u|~(p-1)u,1+4/3p5in energy space H~1(R~3).The threshold energy is the energy of the ground state W of the focusing,energy critical NLS,which means that the subcritical perturbation does not affect the determination of threshold,but affects the scattering and blow-up dichotomy result with     

本刊英文版Vol.31(2015),No.5论文摘要（英文）

<正>The Optimal Constant in Hardy-type Inequalities Mu-Fa CHEN Abstract To estimate the optimal constant in Hardy-type inequalities,some variational formulas and approximating procedures are introduced.The known basic estimates are improved considerably.The results are illustrated by typical examples.It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.     

本刊英文版Vol.36(2020),No.5论文摘要（英文）

正On the Complex Difference Equation of Hypergeometric Type on Non-uniform Lattices Jin Fa CHENG Abstract In this article,we obtain a new fundamental theorems for Niki for ov-UvarovSuslov complex difference equation of hypergeometric type by the method of Euler integral transformation,its expression is different from Suslov’s Theorem.We also establish the adjoint     

本刊英文版Vol.30(2014),No.5论文摘要（英文）

<正>Similarity Degrees for the Crossed Product of yon Neumann Algebras Jin Song WU Wen Ming WU Abstract In this paper,we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite yon Neumann algebra by weakly compact action of an infinite discrete group.We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras.     

本刊英文版Vol.39(2023),No.5论文摘要（英文）

<正>Monge-Ampère Type Equations on Almost Hermitian Manifolds Jiao Gen ZHANG Abstract In this paper we consider the Monge-Ampere type equations on compact almost Hermitian manifolds.We derive C^∞ a priori estimates under the existence of an admissible C-subsolution.Finally,we obtain an existence result if there exists an admissible supersolution.     

本刊英文版Vol.34(2018),No.6论文摘要（英文）

正Restricted Lie 2-algebras Yan TAN Zhi Xiang WU Abstract In this article,we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras,and give a series of examples of restricted Lie 2-algebras.We also construct restricted Lie 2-algebras from A(m)-algebras,restricted Leibniz algebras,restricted     

本刊英文版Vol.37(2021),No.12论文摘要（英文）

<正>Empirical Likelihood of Quantile Difference with Missing Response When High-dimensional Covariates Are Present Cui Juan KONG Han Ying LIANG Abstract We,in this paper,investigate two-sample quantile difference by empirical likelihood method when the responses with high-dimensional covariates of the two populations are missing at random.In particular,based on sufficient dimension reduction technique,we construct three empirical log-likelihood ratios for the quantile difference between two samples by using inverse probability weighting imputation,regression imputation as well as augmented inverse probability weighting imputation,respectively,and prove their asymptotic distributions.     

本刊英文版Vol.32(2016),No.4论文摘要（英文）

正A Khovanov Type Link Homology with Geometric Interpretation Mei Li ZHANG Feng Chun LEI Abstract We study a Khovanov type homology close to the original Khovanov homology theory from Frobenius system.The homology is an invariant for oriented links up to isotopy by applying a tautological functor on the geometric complex.The homology has also geometric     

本刊英文版Vol.31(2015),No.6论文摘要（英文）

<正>Multiple Positive Solutions for a Nonlinear Elliptic Equation Involving Hardy-Sobolev-Maz'ya Term Shuang Jie PENG Jing YANG Abstract In this paper,we study the existence and nonexistence of multiple positive solutions for the following problem involving Hardy-Sobolev-Maz'ya term:     

本刊英文版Vol.32(2016),No.12论文摘要（英文）

正A Homomorphism between Circuit Cobordism Groups and Pseudohomology Groups over Configuration Space B Shao Feng WANGAbstract We develop a new method to perturb singular circuits in configuration space B with trivial isotropy groups,and construct a homomorphismφ_*between its circuit cobordism groups and pseudohomology groups.This work can be viewed as a counterpart to Zinger's construction.The Intersection Numbers of Nearly Kirkman Triple Systems     

本刊英文版Vol.34(2018),No.12论文摘要（英文）

正~~