Science China-Mathematics

Papers
(The median citation count of Science China-Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Atiyah and Todd classes of regular Lie algebroids54
Relative equivariant coarse index and relative L2-index48
Fourier coefficients of restrictions of eigenfunctions27
Inverse problems for radial Schrödinger operators with the missing part of eigenvalues22
NeuroPrim: An attention-based model for solving NP-hard spanning tree problems16
The boundary value problem for the mean field equation on a compact Riemann surface15
On equidistribution theorem for multi-sequences of holomorphic line bundles14
Rankin-Selberg coefficients in large arithmetic progressions14
The lowest upper bound on the number of zeros of a class of hyperelliptic Abelian integrals14
The global existence and low Mach number limit for full Navier-Stokes equations around the Couette flow in a finite channel13
Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds12
Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate12
The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry11
Scalar curvatures in almost Hermitian geometry and some applications10
New low-rank optimization model and algorithms for spectral compressed sensing10
Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application9
Lp-regularity of a geometrically nonlinear system in supercritical dimensions9
2-local unstable homotopy groups of indecomposable A23-complexes9
RCV-based error density estimation in the ultrahigh dimensional additive model8
Further study on Horozov-Iliev’s method of estimating the number of limit cycles8
Tensor modules over Witt superalgebras8
Special John-Nirenberg-Campanato spaces via congruent cubes8
The anisotropic p-capacity and the anisotropic Minkowski inequality8
Berry-Esseen bounds and moderate deviations for the norm, entries and spectral radius of products of positive random matrices8
Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces8
Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations8
Gaussian limit for determinantal point processes with J-Hermitian kernels8
Retraction Note to: “A uniqueness lemma with applications to regularization and incompressible fluid mechanics”8
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach8
Resolution and alteration with ample exceptional divisor7
On the maximin distance properties of orthogonal designs via the rotation7
Representation of measures of noncompactness and its applications related to an initial value problem in Banach spaces7
Hereditary uniform property Γ7
Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources7
The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 27
On the positivity of high-degree Schur classes of an ample vector bundle6
Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution6
Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds6
The KAM theorem on the modulus of continuity about parameters6
On self-affine tiles that are homeomorphic to a ball6
Remarks on convexity estimates for solutions of the torsion problem6
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs5
A new quantity in Finsler geometry5
A note on statistical analysis of factor models of high dimension5
Space-time estimates of the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities5
Conditional dependence learning with high-dimensional conditioning variables5
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space5
The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds5
Exact synchronization and asymptotic synchronization for linear ODEs5
Improved RIP-based bounds for guaranteed performance of two compressed sensing algorithms5
The symmetric space, strong isotropy irreducibility and equigeodesic properties5
Modular framed vertex operator algebras and $$\mathbb{Z}[{1\over 2}]$$-forms5
A singular Moser-Trudinger inequality for mean value zero functions in dimension two5
Testing high-dimensional covariance structures using double-normalized observations5
The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid5
Twisted Whittaker modules over $${U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})$$5
A standard form of incompressible surfaces in 3-dimensional handlebodies5
Upper bounds of Schubert polynomials5
Mirror symmetry for special nilpotent orbit closures5
Three-parameter approximations of sums of locally dependent random variables via Stein’s method4
A characterization of socular highest weight modules and Richardson orbits of classical types4
Polynomial network autoregressive models with divergent orders4
Low-dimensional quadratic relative character varieties for the projective line minus three points4
Weighted composition operators on the Fock space4
Multiplicative forms on Poisson groupoids4
On conformal complex Finsler metrics4
On construction of strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus4
A class of Hessian quotient equations in warped product manifolds4
The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere4
Generic singularities for 2D pressureless flows4
Jackson-type inequalities on high-dimensional spheres4
High-dimensional robust inference for censored linear models4
A boundary expansion of solutions to nonlinear singular elliptic equations4
Gorenstein projective modules over rings of Morita contexts4
Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions4
p-Laplace equations in conformal geometry4
Boundary blow-up analysis for approximate Dirac-harmonic maps into stationary Lorentzian manifolds4
Sufficient dimension reduction in the presence of controlling variables4
Preface4
The positive energy conjecture for a class of AHM metrics on $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$4
On the rainbow matching conjecture for 3-uniform hypergraphs4
Multi-arm covariate-adaptive randomization4
Limit theorems of the 2D stochastic Navier-Stokes equation driven by a time-periodic force and a degenerate noise4
Strong unique continuation property for stochastic parabolic equations3
Existence for VT-harmonic maps from compact manifolds with boundary3
Existence and asymptotics of normalized solutions for the logarithmic Schrödinger system3
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems3
The Hilbert expansion of the Boltzmann equation in the incompressible Euler level in a channel3
Nondegeneracy of eigenvectors and singular vector tuples of tensors3
Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle3
On order-preserving and order-reversing mappings defined on cones of convex functions3
On the local convergence of a stochastic semismooth Newton method for nonsmooth nonconvex optimization3
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes3
The Busemann-Petty problem on entropy of log-concave functions3
The positive mass theorem for asymptotically flat manifolds with isolated conical singularities3
On unitary equivalence of compact operator tuples3
Empirical likelihood test for the equality of several high-dimensional covariance matrices3
Splitting positive sets3
The secondary periodic element $$\beta_{p^{2}/p^{2}-1}$$ and its applications3
Uniform local well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation3
Gluing support τ-tilting modules via symmetric ladders of height 23
Splitting of the virtual class for genus one stable quasimaps3
Indices and c-vectors in extriangulated categories3
Fast projection onto the ordered weighted ℓ1 norm ball3
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras3
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities3
The tensor embedding for a Grothendieck cosmos3
Almost automorphically-forced flows on S1 or ℝ in one-dimensional almost periodic semilinear heat equations3
Isolation of the cuspidal spectrum: The function field case3
Miyaoka-type inequalities for terminal threefolds with nef anti-canonical divisors3
Affine Pólya-Szegö inequality on Steiner rearrangement in any codimension3
Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators3
On the density of Birkhoff sums for Anosov diffeomorphisms3
On infinite arithmetic progressions in sumsets3
Global well-posedness for 2D inhomogeneous asymmetric fluids with large initial data3
Singularities of mean curvature flow2
Gradient-based algorithms for multi-objective bi-level optimization2
Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach2
Stable correlation and robust feature screening2
Cohomology groups of a new class of Kadison-Singer algebras2
Second-order approximation of exponential random graph models2
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region2
Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness2
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation2
A weak Galerkin-mixed finite element method for the Stokes-Darcy problem2
When the Schur functor induces a triangle-equivalence between Gorenstein defect categories2
Existence, construction and extension of continuous solutions of an iterative equation with multiplication2
Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noise2
Editorial2
Partial regularity and nonlinear potential estimates for Stokes systems with super-quadratic growth2
Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms2
Enhancing cut selection through reinforcement learning2
Nadel-type multiplier ideal sheaves on complex spaces with singularities2
A stabilizer-free C0 weak Galerkin method for the biharmonic equations2
Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets2
On the Chern conjecture for isoparametric hypersurfaces2
Equivariant eta forms and equivariant differential K-theory2
The Heisenberg double of the quantum Euclidean group and its representations2
Spherically symmetric Einstein-scalar-field equations with potential for wave-like decaying null infinity2
Rigidity of non-renormalizable Newton maps2
Learning to select the recombination operator for derivative-free optimization2
Aubry-Mather theory for contact Hamiltonian systems III2
Nearly optimal Bayesian shrinkage for high-dimensional regression2
A dynamical neural network approach for distributionally robust chance-constrained Markov decision process2
Virtual neighborhood technique for moduli spaces of holomorphic curves2
High-order finite volume methods for solving compressible multicomponent flows2
The character of Thurston’s circle packings2
Conics on Barth-Bauer octics2
Trace inequalities, isocapacitary inequalities, and regularity of the complex Hessian equations2
Geodesic metrics on fractals and applications to heat kernel estimates2
Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions2
A new rotation method for constructing orthogonal Latin hypercube designs2
One discrete dynamical model on the Wolbachia infection frequency in mosquito populations2
Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold2
A note on compact homogeneous manifolds with Bismut parallel torsion2
Subordinacy theory for extended CMV matrices2
Efficient linear and unconditionally energy stable schemes for the modified phase field crystal equation2
A supplement to Chebotarev’s density theorem2
Uniqueness of the Reissner-Nordström metric near the null infinity2
A robust Hessian-based trust region algorithm for spherical conformal parameterizations2
Harnack inequality and gradient estimate for G-SDEs with degenerate noise2
Global structure of spectra of periodic non-Hermitian Jacobi operators2
Entire functions arising from trees2
Estimation of partial derivative functionals with application to human mortality data analysis2
Extriangulated ideal quotients and Gabriel-Zisman localizations2
Regularity for minimizing sequences of some variational integrals2
Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces2
Surjective Lp-isometries on Grassmann spaces1
On symplectic automorphisms of elliptic surfaces acting on CH01
The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum1
Minimal silting modules and ring extensions1
Nearly optimal stochastic approximation for online principal subspace estimation1
Finsler Trudinger-Moser inequalities on ℝ21
The openness theorems on convergence of the twisted Kähler-Ricci flows1
Moment-angle manifolds and connected sums of simplicial spheres1
On the superconvergence of a WG method for the elliptic problem with variable coefficients1
Global existence and large-time behavior for primitive equations with the free boundary1
On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity. II1
Time-asymptotic stability of planar Navier-Stokes shocks with spatial oscillations1
A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids1
Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term1
Orbits of Jacobi forms and theta relations1
Local stable and unstable sets for positive entropy C1 dynamical systems1
On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations1
Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs1
Column-orthogonal designs with multi-dimensional stratifications1
Virtual homological eigenvalues and the Weil-Petersson translation length1
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras1
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation1
Random change point model with an application to the China Household Finance Survey1
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations1
Long-wave instabilities1
Quasi-admissible, raisable nilpotent orbits, and theta representations1
Boundary points, minimal L2 integrals and concavity property II: Weakly pseudoconvex Kähler manifolds1
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations1
A class of weighted estimating equations for additive hazard models with covariates missing at random1
Navier-Stokes equations under slip boundary conditions: Lower bounds to the minimal amplitude of possible time-discontinuities of solutions with two components in L∞(L3)1
Quasimonotone random and stochastic functional differential equations with applications1
Minimal Legendrian surfaces in the tangent sphere bundle of ℝ31
Weak type (1, 1) of the Riesz transform on some direct product manifolds with exponential volume growth1
A neural branch-and-price for truck scheduling in cross-docks1
Three-circle theorems and Liouville-type theorems1
Spectrum structure and decay rate estimates on the Landau equation with Coulomb potential1
Dynamical intricacy and average sample complexity of amenable group actions1
Parametric “non-nested” discriminants for multiplicities of univariate polynomials1
On finite-dimensional representations of finite W-superalgebras1
Solvability of monotone tensor complementarity problems1
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons1
Model-averaging-based semiparametric modeling for conditional quantile prediction1
Boundary regularity for mean curvature flows of higher codimension1
Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion1
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed1
Mean field game of optimal relative investment with jump risk1
Inverse local time of one-dimensional diffusions and its comparison theorem1
New structures for colored HOMFLY-PT invariants1
Global classical solutions for 3D compressible magneto-micropolar fluids without resistivity and spin viscosity in a strip domain1
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions1
A new perturbation to a critical elliptic problem with a variable exponent1
Noncommutative analysis of Hermite expansions1
Higher-order energy-decreasing exponential time differencing Runge-Kutta methods for gradient flows1
Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 31
Native spaces and generalization of Wu functions1
Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model1
The spectrum and stability of travelling pulses in a coupled FitzHugh-Nagumo equation1
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds1
Inverse problems of the Erdős-Ko-Rado type theorems for families of vector spaces and permutations1
Natural boundary of the random power series1
The distribution of the large partial quotients in continued fraction expansions1
Littlewood-type theorems for random Dirichlet series1
On the generalized Chern conjecture for hypersurfaces with constant mean curvature in a sphere1
On asymptotic stability of the 3D Boussinesq equations without heat conduction1
Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension1
Non-weight modules over the algebra $$\cal{SW}(b)$$1
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective spaces1
The geometry of irreversible sub-Finslerian spaces1
A class of iterative greedy algorithms related to Blaschke product1
Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus1
Variational inequalities for the commutators of rough operators with BMO functions1
Optimal pivot path of the simplex method for linear programming based on reinforcement learning1
A Hilbert-Schmidt integral operator and the Weil distribution1
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds1
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces1
Global stability of the plane wave solutions to the relativistic string equation with non-small perturbations1
Characterizations of plurisubharmonic functions1
L vector spaces and L fields1
Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part1
Spectral flow, Llarull’s rigidity theorem in odd dimensions and its generalization1
Optimal regularity of positive solutions of the Hénon-Hardy equation and related equations1
An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation1
On character sums with determinants1
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