Inverse Coefficient Problems for Elliptic Hemivariational Inequalities

作     者：Cui＇e XIAO Zhenhai LIU Cui’e XIAOSchool of Mathematical Sciences and Computing Technology, Central South University, Changsha 410075, China;Department of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, Hunan, China.Zhenhai LIU School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China.

作者机构：School of Mathematical Sciences and Computing Technology Central South University Changsha 410075 China Department of Mathematics and Computation Sciences Hunan City University Yiyang 413000 Hunan China School of Mathematics and Computer Science Guangxi University for Nationalities Nanning 530006 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2010年第31卷第4期

页      面：473-480页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(No.10971019) the GuangxiProvincial Natural Science Foundation of China(No.2010GXNSFA013114) 

主　　题：Elliptic hemivariational inequality Inverse coefficient problem Existence of quasisolution 

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