Geodesic
Analysis and Control of a General Elliptic Quasivariational-Hemivariational Inequality
Minimax theory and its applications, Tome 9 (2024) no. 2
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We consider a general elliptic quasivariational-hemivariational inequality in real Hilbert spaces for which we provide a solution existence and uniqueness result, a convergent iterative procedure, and a Lipschitz continuous dependence result that we use in order to deduce the existence of a solution to an associated optimal control problem. As an example for applications of the abstract results, we consider a new model of static contact problem which describes the equilibrium of an elastic body with a reactive foundation. The weak formulation of the model is a quasivariational hemivariational inequality for the displacement field. We present theoretical results on the analysis and control of the contact problem.
Mots-clés : Quasivariational-hemivariational inequality, existence, uniqueness, optimal control, locking material, frictional contact problem, unilateral constraint, weak solution 
@article{MTA_2024_9_2_a5,
     author = {Weimin Han,Mircea Sofonea},
     title = {Analysis and {Control} of a {General} {Elliptic} {Quasivariational-Hemivariational} {Inequality}},
     journal = {Minimax theory and its applications},
     year = {2024},
     volume = {9},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a5/}
}
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Weimin Han,Mircea Sofonea. Analysis and Control of a General Elliptic Quasivariational-Hemivariational Inequality. Minimax theory and its applications, Tome 9 (2024) no. 2. http://geodesic.mathdoc.fr/item/MTA_2024_9_2_a5/