A class of generalized mixed variational–hemivariational inequalities II: Applications. (December 2019)

• Record Type: Journal Article
• Authors: Migórski, Stanisław; Bai, Yunru; Zeng, Shengda
• Is Part Of: Nonlinear analysis. Volume 50(2019)
• Page Start: 633
• Page End: 650
• Publication Date: 2019-12
• Subjects: Mixed variational–hemivariational inequality -- Mixed boundary value problem -- Nonhomogeneous partial differential operator -- Clarke subgradient operator -- Unilateral contact problem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2019.06.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper we continue the study on generalized mixed variational–hemivariational inequalities which has been recently carried out in Bai et al. (2019). There, several abstract results on existence, uniqueness, and stability of solution are established. To illustrate the applicability of these results, we present two applications. The first application is an elliptic system driven by mixed boundary conditions and a nonhomogeneous partial differential operator. The second one is a frictionless elastic contact model with a unilateral boundary condition and the constitutive law involving the generalized subgradient inclusion.