A new general class of systems of elliptic quasi-variational–hemivariational inequalities
Authors:
- Stanisław Migórski,
- Justyna Ogorzały,
- Sylwia Dudek
Abstract
In this paper we study a general class of systems of strongly coupled quasi-variational–hemivariational inequalities with implicit constraints in reflexive Banach spaces. Each inequality contains a convex potential, a locally Lipschitz superpotential, and a implicit obstacle set. The solvability of the system is established based on a fixed point approach, monotonicity arguments, and nonsmooth analysis. The result generalizes several theorems on various particular cases on variational, variational–hemivariational, and quasi-variational inequalities. We illustrate the applicability of the abstract theory by a nonlinear static thermoelastic frictional contact problem with implicit obstacles for which we provide existence and regularity results.
- Record ID
- CUT9bcb8c267d2a4bb18c5ce25b62ba0dd9
- Publication categories
- ;
- Author
- Journal series
- Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, e-ISSN 1878-7274
- Issue year
- 2023
- Vol
- 121
- Pages
- [1-17]
- Article number
- 107243
- Other elements of collation
- Bibliografia (na s.) - 17; Bibliografia (liczba pozycji) - 31; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 121
- Keywords in English
- variational–hemivariational inequality, minty-type formulation, Mosco convergence, generalized subgradient, implicit obstacle
- ASJC Classification
- ; ;
- DOI
- DOI:10.1016/j.cnsns.2023.107243 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S1007570423001612 Opening in a new tab
- Related project
- Nieliniowe nierówności różniczkowe wariacyjno-hemiwariacyjne i ich zastosowania. . Project leader at PK: , ,
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Publication indicators
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT9bcb8c267d2a4bb18c5ce25b62ba0dd9/
- URN
urn:pkr-prod:CUT9bcb8c267d2a4bb18c5ce25b62ba0dd9
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