Journal article
Analysis and Control of a General Elliptic Variational Hemivariational Inequality
Minimax Theory and its Applications, Vol.9(2), pp.253-270
2024
Abstract
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.
Details
- Title: Subtitle
- Analysis and Control of a General Elliptic Variational Hemivariational Inequality
- Creators
- Weimin HanMircea Sofonea - LAboratoire de Modélisation Pluridisciplinaire et Simulations
- Resource Type
- Journal article
- Publication Details
- Minimax Theory and its Applications, Vol.9(2), pp.253-270
- Publisher
- Heldermann
- ISSN
- 2199-1413
- eISSN
- 2199-1421
- Language
- English
- Date published
- 2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984635156902771
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