Inverse Coefficient Problems for Nonlinear Elliptic Variational Inequalities  

作　　者：Run-sheng Yang Yun-hua Ou 

机构地区：[1]Department of Mathematics, Changsha University of Sciences and Technology, Changsha 410076, China [2]Department of Mathematics, Hunan University of Technology, Zhuzhou 412007, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第1期85-92,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10971019);Guangxi Natural Science Foundation (No.2010GXNSFA013114)

摘　　要：This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic variational inequalities. The unknown coefficient of elliptic variational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic variational inequalities is unique solvable for the given class of coefficients. The existence of quasisolutions of the inverse problems is obtained.This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic variational inequalities. The unknown coefficient of elliptic variational inequalities depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic variational inequalities is unique solvable for the given class of coefficients. The existence of quasisolutions of the inverse problems is obtained.

关 键 词：Elliptic variational inequality inverse coefficient problem existence of quasisolution 

分 类 号：O176[理学—数学] O171[理学—基础数学]