A Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces

• DOI: 10.1007/s10659-016-9600-7
• Publication Date: 2016-10-10T06:57:05Z
• Authors: Stanisław Migórski; Anna Ochal; Mircea Sofonea
• Keywords: Operator (biology)

We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality the is governed by nonlinear operator, convex set constraints and two nondifferentiable functionals, among which at least one convex. deliver result on existence uniqueness solution to inequality. Next, we show continuous dependence data problem introduce penalty method, for state prove convergence result. Finally, consider mathematical model describes equilibrium an elastic body unilateral contact with foundation. The leads displacement field, that analyse using our abstract results.