A Multivalued Variational Inequality with Unilateral Constraints

Abstract : The present paper represents a continuation of [3]. There, we studied a new class of variational inequalities involving a pseudomonotone univalued operator and a multivalued operator, for which we obtained an existence result, among others. In the current paper we prove that this result remains valid under significantly weaker assumption on the multivalued operator. Then, we consider a new mathematical model which describes the equilibrium of an elastic body attached to a nonlinear spring on a part of its boundary. We use our abstract result to prove the weak solvability of this elastic model.
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Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.302-311, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_28〉
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Piotr Kalita, Stanislaw Migorski, Mircea Sofonea. A Multivalued Variational Inequality with Unilateral Constraints. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.302-311, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_28〉. 〈hal-01626928〉

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