This paper deals with the existince of the solulionlor linear complementaryproblern. The uniqueness theorem of lhe solution for linear compiementary. problem isproved. Two evaniples are given. They show that “M is po...This paper deals with the existince of the solulionlor linear complementaryproblern. The uniqueness theorem of lhe solution for linear compiementary. problem isproved. Two evaniples are given. They show that “M is positive .sermidefinite”neither sufficient nor necessary codition .for te, existence to the solution of linearcomplementary. problem.展开更多
This paper discussed an axially symmetric elastic-plastic torsion problem. In virtue of penalty method, reflection boundaries, Bernstein estimate and reverse Holder inequality, on account of studying the corresponding...This paper discussed an axially symmetric elastic-plastic torsion problem. In virtue of penalty method, reflection boundaries, Bernstein estimate and reverse Holder inequality, on account of studying the corresponding complementary boundary problem which had mixed boundary conditions, the regularity of the solutions was established.展开更多
The stochastic variational inequality(SVI)provides a unified form of optimality con-ditions of stochastic optimization and stochastic games which have wide applications in science,engineering,economics and finance.In ...The stochastic variational inequality(SVI)provides a unified form of optimality con-ditions of stochastic optimization and stochastic games which have wide applications in science,engineering,economics and finance.In the recent two decades,one-stage SVI has been studied extensively and widely used in modeling equilibrium problems under uncertainty.Moreover,the recently proposed two-stage SVI and multistage SVI can be applied to the case when the decision makers want to make decisions at different stages in a stochastic environment.The two-stage SVI is a foundation of multistage SVI,which is to find a pair of“here-and-now”solution and“wait-and-see”solution.This paper provides a survey of recent developments in analysis,algorithms and applications of the two-stage SVI.展开更多
文摘This paper deals with the existince of the solulionlor linear complementaryproblern. The uniqueness theorem of lhe solution for linear compiementary. problem isproved. Two evaniples are given. They show that “M is positive .sermidefinite”neither sufficient nor necessary codition .for te, existence to the solution of linearcomplementary. problem.
文摘This paper discussed an axially symmetric elastic-plastic torsion problem. In virtue of penalty method, reflection boundaries, Bernstein estimate and reverse Holder inequality, on account of studying the corresponding complementary boundary problem which had mixed boundary conditions, the regularity of the solutions was established.
基金supported by Hong Kong Research Grant Council PolyU(No.153001/18P)supported by the National Natural Science Foundation of China(Nos.11871276 and 11571178).
文摘The stochastic variational inequality(SVI)provides a unified form of optimality con-ditions of stochastic optimization and stochastic games which have wide applications in science,engineering,economics and finance.In the recent two decades,one-stage SVI has been studied extensively and widely used in modeling equilibrium problems under uncertainty.Moreover,the recently proposed two-stage SVI and multistage SVI can be applied to the case when the decision makers want to make decisions at different stages in a stochastic environment.The two-stage SVI is a foundation of multistage SVI,which is to find a pair of“here-and-now”solution and“wait-and-see”solution.This paper provides a survey of recent developments in analysis,algorithms and applications of the two-stage SVI.
