supported by Inha University Research Grant and National Research Foundation of Korea Grant funded by the Korean Government(RS-2023-00212227);supported by National Research Foundation of Korea Grant funded by the Korean Government(NRF-2020R1C1C1A01006521)。
In this paper,we prove some Liouville-type theorems for the stationary magnetomicropolar fluids under suitable conditions in three space dimensions.We first prove that the solutions are trivial under the assumption of...
supported by the Shenzhen sustainable development project:KCXFZ 20201221173013036 and the National Natural Science Foundation of China(91746107).
In this paper,we mainly discuss a discrete estimation of the average differential entropy for a continuous time-stationary ergodic space-time random field.By estimating the probability value of a time-stationary rando...
supported by Foundation of Natural Sciences of China(11671121,11871197 and 11431009)。
Let E_(s)^(m+p+1) ?R_(s+1)^(m+p+2)(m≥ 2,p≥ 1,0≤s≤p) be the standard(punched)light-cone in the Lorentzian space R_(s+1)^(m+p+2),and let Y:M^(m)→E_(s)^(m+p+1) be a space-like immersed submanifold of dimension m.The...
In this article,we prove a regularity result for weak solutions away from singular set of stationary Navier-Stokes systems with subquadratic growth under controllable growth condition.The proof is based on the A-harmo...
We consider entire solutions u of the equations describing the stationary flow of a generalized Newtonian fluid in 2 D concentrating on the question, if a Liouville-type result holds in the sense that the boundedness ...
supported by the NSFC(11501231);the "Fundamental Research Funds for the Central Universities"(WUT2017IVA077,2018IB014)
In this paper, we study the existence of least energy sign-changing solutions for aKirchhoff-type problem involving the fractional Laplacian operator. By using the constraintvariation method and quantitative deformati...
The research of Fan Lili was supported by two grants from the National Natural Science Foundation of China (10871151; 10925103);the research of Liu Hongxia was supported by National Natural Science Foundation of China (10871082);the research of Yin Hui was supported by National Natural Sciences Foundation of China (10901064)
This paper is concerned with the initial-boundary value problem for damped wave equations with a nonlinear convection term in the multi-dimensional half space R n + : u tt u + u t + divf (u) = 0, t 〉 0, x = (x...
Supported partially by the National Natural Science Foundation of China(10775175)
In this article, we are concerned with the Dirichlet problem of the stationary von Neumann-Landau wave equation:{(-△x+△y)φ(x,y)=0,x,y∈Ωφ|δΩxδΩ=fwhere Ω is a bounded domain in R^n. By introducing anti...
We study the following Schrodinger-Poisson system where (Pλ){-△u+ V(x)u+λФ(x)u^p=x∈R^3,-△Ф=u^2,lim│x│→∞Ф(x) =0,u〉0,where λ≥0 is a parameter,1 〈 p 〈 +∞, V(x) and Q(x)=1 ,D.Ruiz[19] prov...
National NaturalScience Foundation of China(10171113 and 10471156);Natural Science Foundation of Guangdong(4009793)
The article studies the homogenization of a stationary Navier-Stokes fluid in porous medium with thin film under Dirichlet boundary condition.At the end of the article,"Darcy's law"is rigorously derived from this m...