Elliptic problems with critical exponents and Hardy potentials

This paper is devoted to the existence of positive solutions of a Dirichlet problem with critical exponent and a singular potential. Under various assumption on the domain Ω, which include some kinds of unbounded domains, we prove the existence of ground states and of symmetric solutions.     

On a class of singular biharmonic problems involving critical exponents

This paper deals with the following class of singular biharmonic problems

     

Optimal control for semilinear evolutionary variational bilateral problem

This paper is concerned with an optimal control problem for some semilinear evolutionary variational inequalities associated with bilateral constraints. The control domain is a general separable metric space and has no algebraic structure, in particular, it is not necessarily convex. Existence and optimality conditions of optimal pairs are established.     

Weighted integral inequalities for conjugate A-harmonic tensors

We first prove a local weighted integral inequality for conjugate A-harmonic tensors. Then, as an application of our local result, we prove a global weighted integral inequality for conjugate A-harmonic tensors in L^s(μ)-averaging domains, which can be considered as a generalization of the classical result. Finally, we give applications of the above results to quasiregular mappings.     

Robust H∞ control for linear Markovian jump systems with unknown nonlinearities

This paper studies the problem of stochastic stability and disturbance attenuation for a class of linear continuous-time uncertain systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state, control and external disturbance dependent. A sufficient condition is provided to solve the above problem. An H_∞ controller is designed such that the resulting closed-loop system is stochastically stable and has a disturbance attenuation γ for all admissible uncertainties. It is shown that the control law is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique.     

最大均方差异统计量的一般界

经典的最大均方差异统计量MMDb(F,X,Y)和MMD2u(F,X,Y)基于等量假设(即m=n)来检验两组样本X={x1,x2,…,xm}和Y={y1,y2,…,yn}是否来自不同的分布.本文对样本等量假设进行了放松,推广了经典的最大均方差异统计量界,推导出当m≠n时统计量MMDb(F,X,Y)和MMD2u(F,X,Y...     

一个素变数丢番图不等式

本文证明了如果1相似文献   

非Lipschitz系数的倒向半线性随机发展方程的适度解

文中将研究如下的无穷维空间的倒向半线性随机发 展方程x(t)+∫TteA(s-t)f(s,x(s),y(s))ds+∫Tte A(s-t )(g(s,x(s))+y(s))dw(s)=eA(T-t)X,在类似于Ymada条件下获得了该方程适度解的存在性和唯一性定理.     

Pearson-χ~2距离的若干性质

本文对数理统计中常用的 Pearson- χ2距离的分析特性进行了讨论 ,得到了这一距离的一些解析性质 ,最后我们还给出了几个常用距离的关系 .     

随机交通均衡配流模型及其等价的变分不等式问题

本文讨论了交通网络系统的随机用户均衡原理的数学表述问题.在路段出行成本是流量的单调函数的较弱条件下,对具有固定需求和弹性需求的模式,首次证明了随机均衡配流模型可表示为一个变分不等式问题,同时也说明了该变分不等式问题与相应的互补问题以及一个凸规划问题之间的等价关系.