Well-posedness of a class of generalized mixed hemivariational–variational inequalities

Publication date: August 2019Source: Nonlinear Analysis: Real World Applications, Volume 48Author(s): Yunru Bai, Stanisław Migórski, Shengda ZengAbstractThe purpose of this paper is to investigate a class of generalized mixed hemivariational–variational inequalities of elliptic type in a Banach space. A well-posedness result for the inequality is obtained, including existence, uniqueness, and stability of solution. The approach is based on a set-valued fixed point theorem combined with the theory of nonsmooth analysis. An elastic contact problem with the constitutive law involving a convex subdifferential inclusion is considered as an illustrative application, in which the contact boundary conditions are described by a unilateral frictionless contact condition, and a bilateral multivalued frictional contact law.
Source: Nonlinear Analysis: Real World Applications - Category: Research Source Type: research
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