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.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.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.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.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.37(2021),No.11论文摘要（英文）

<正>p-Laplacian Equations on Locally Finite Graphs Xiao Li HAN Meng Qiu SHAO Abstract This paper is mainly concerned with the following nonlinear p-Laplacian equation-Δ_pu(x)+(λa(x)+1)|u|~(p-2)(x)u(x)=f(x,u(x)),in V on a locally finite graph G=(V,E) with more general nonlinear term,whereΔ_p is the discrete p-Laplacian on graphs,p≥2.Under some suitable conditions on f and a(x),we can prove that the equation admits a positive solution by the Mountain Pass theorem and a ground state solution u_λvia the method of Nehari manifold,for anyλ> 1.In addition,asλ→+∞,we prove that the solution u_λconverge to a solution of the following Dirichlet problem     

本刊英文版Vol.32(2016),No.11论文摘要（英文）

正Sharp Bounds for Fractional One-sided Operators Maria Silvina RIVEROS Raul Emilio VIDAL Abstract In this paper,we characterize the sharp boundedness of the one-sided fractional maximal function for one-weight and two-weight inequalities.Also a new two-weight testing condition for the one-sided fractional maximal function is introduced extending the work of Martfn-Reyes and de la Torre.Improving.some extrapolation result for the one-sided case,we     

本刊英文版Vol.35(2019),No.11论文摘要（英文）

Sufficient Conditions for Maximally Edge-connected and Super-edge-connected Digraphs Dependingon the Size Sebastian MILZ Lutz VOLKMANN Abstract Let D be a finite and simple digraph with vertex set V(D).The minimum degree δ of a digraph D is defined as the minimum value of its out-degrees and its in-degrees.     

本刊英文版Vol.34(2018),No.11论文摘要（英文）

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本刊英文版Vol.39(2023),No.1论文摘要（英文）

<正>A Vanishing Theorem on a Class of Hartogs Domain Cheng Chen ZHONG An WANG Li Shuang PAN Abstract In this paper,we consider the d-boundedness of the Bergman metric and a vanishing theorem of L2-cohomology on a class of Hartogs domain,whose base domain is the production of two irreducible bounded symmetric domains of the first type,by using the Bergman kernel function,invariant function,holomorphic automorphism group and so on.     

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.34(2018),No.10论文摘要（英文）

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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.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.35(2019),No.6论文摘要（英文）

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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