A class of Multivalued Quasi-variational inequalities with applications
Authors:
- Stanislaw Migórski,
- Yunru Bai,
- Sylwia Dudek
Abstract
In this paper we deal with a class of nonlinear quasi-variational inequalities involving a set-valued map and a constraint set. First, we prove that the set of weak solutions of the inequality is nonempty, weakly compact and upper semicontinuous with respect to perturbations in the data. Then, the results are applied to a quasi variational-hemivariational inequality of elliptic kind. Finally, as an illustrative applications we examine a mathematical model of a nonsmooth static frictional unilateral contact problem for ideally locking materials in nonlinear elasticity.
- Record ID
- CUTe8157e7c0efd46198fd8540ff9ddfbb9
- Publication categories
- ;
- Author
- Journal series
- Applied Mathematics and Optimization, ISSN 0095-4616, e-ISSN 1432-0606
- Issue year
- 2023
- Vol
- 87
- No
- 2
- Pages
- [1-25]
- Article number
- 32
- Other elements of collation
- Bibliografia (na s.) - 23-25; Bibliografia (liczba pozycji) - 46; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 87, Iss. 2
- Keywords in English
- variational inequality, hemivariational inequality, Kuratowski convergence, contact problem
- ASJC Classification
- ;
- DOI
- DOI:10.1007/s00245-022-09941-5 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s00245-022-09941-5 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/CUTe8157e7c0efd46198fd8540ff9ddfbb9/
- URN
urn:pkr-prod:CUTe8157e7c0efd46198fd8540ff9ddfbb9
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.