A Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces

• Published in: Journal of elasticity Vol. 127; no. 2; pp. 151 - 178
• Main Authors: Migórski, Stanisław, Ochal, Anna, Sofonea, Mircea
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2017; Springer Nature B.V; Springer Verlag
• Subjects: Automotive Engineering; Banach space; Classical Mechanics; Contact; Convergence; Displacement; Foundations; Inequalities; Mathematical models; Mathematics; Physics; Physics and Astronomy; Uniqueness; 74M10; 47J22; Clarke subdifferential; Penalty operator; 47J20; 49J53; Frictional contact; 74M15; Continuous dependence; Variational-hemivariational inequality; Existence and uniqueness

We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality in the class is governed by a nonlinear operator, a convex set of constraints and two nondifferentiable functionals, among which at least one is convex. We deliver a result on existenc...