supported by National Natural Science Foundations of China Grant(Nos.12026214,11871061 and 12026213);Natural Science Research Major Project of Higher Education in Jiangsu Province(No.17KJA120002);the 333 Project of Jiangsu Province.
The random walk is one of the most basic dynamic properties of complex networks,which has gradually become a research hotspot in recent years due to its many applications in actual networks.An important characteristic...
supported by the NSFC(No.12031006);the Fundamental Research Funds for the Central Universities of China.
In this note,we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time va...
supported by the National Natural Science Foundation of China(No.11671011);Hunan Provincial Innovation Foundation for Postgraduate(CN)(No.CX20200011).
Noting that the particles communicate with each other within afinite dis-tance,in the paper,we investigate the hierarchical model with free will and cut-off function(linear or nonlinear).As our observation,the cut-off ...
supported by the EPSRC Centre for Doctoral Training in Partial Differential Equations(grant number EP/L015811/1).
We study existence and uniqueness results for the Yamabe problem on non-compact manifolds of negative curvature type.Ourfirst existence and uniqueness result concerns those such manifolds which are asymptotically local...
supported by the National Natural Science Foundation of China(Grant No.12201500);the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);the Young Teachers’Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07).
The aim of this paper is to establish the boundedness of bilinear pseudodifferential operator T_(σ) and its commutator[b_(1),b_(2),T_(σ)]generated by T_(σ) and b_(1),b_(2) BMO(R^(n))on generalized fractional weight...
supported by NNSF-China Grant(No.11471176);NSF of Shandong Province China(No.ZR2020MA004).
In this paper,using the atomic decomposition of the Herz-Morrey-Hardy spaces with variable exponent,the wavelet characterization by means of a local version of the discrete tent spaces with variable exponent is establ...
In various Hilbert spaces of analytic functions on the unit disk,we charac-terize when a function has optimal polynomial approximants given by truncations of a single power series or,equivalently,when the approximants...
supported by NSFC Grant Nos.11721101 and 11871255.
In this paper,we establish global C2 estimates to the Neumann problem for a class of fully nonlinear elliptic equations.As an application,we prove the existence and uniqueness of k-admissible solutions to the Neumann ...
funded by Natural Science Foundation of Hebei Province(No.A2022205007);Science and Technology Project of Hebei Education Department(No.QN2022047);Science Foundation of Hebei Normal University(No.L2021B05);supported by National Natural Science Foundation of China(Nos.11771428,12031015 and 12026217).
We study the existence of standing waves of fractional Schrodinger equations with a potential term and a general nonlinear term:iut-(-Δ)^(s)u-V(x)u+f(u)=0,(t,x)∈R_(+)×R^(N),where s∈(0,1),N>2s is an integer and V(x...