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Inverse Coefficient Problems for Elliptic Hemivariational Inequalities |
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Citation: |
Cui’e XIAO,Zhenhai LIU.Inverse Coefficient Problems for Elliptic Hemivariational Inequalities[J].Chinese Annals of Mathematics B,2010,31(4):473~480 |
Page view: 1816
Net amount: 1452 |
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). |
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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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