Inverse Coefficient Problems for Elliptic Hemivariational Inequalities

Citation:

Cui’e XIAO,Zhenhai LIU.Inverse Coefficient Problems for Elliptic Hemivariational Inequalities[J].Chinese Annals of Mathematics B,2010,31(4):473~480
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Authors:

Cui’e XIAO; Zhenhai LIU;

Foundation:

the National Natural Science Foundation of China (No. 10971019) and the Guangxi Provincial Natural Science Foundation of China (No. 2010GXNSFA013114).
Abstract: 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.

Keywords:

Elliptic hemivariational inequality, Inverse coefficient problem, Existence of quasisolution

Classification:

35J85, 49J20, 49J45
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