Journal article
Well-posedness of a general class of elliptic mixed hemivariational–variational inequalities
Nonlinear analysis: real world applications, Vol.66, 103553
08/2022
DOI: 10.1016/j.nonrwa.2022.103553
Abstract
In this paper, well-posedness of a general class of elliptic mixed hemivariational–variational inequalities is studied. This general class includes several classes of the previously studied elliptic mixed hemivariational–variational inequalities as special cases. Moreover, our approach of the well-posedness analysis is easily accessible, unlike those in the published papers on elliptic mixed hemivariational–variational inequalities so far. First, prior theoretical results are recalled for a class of elliptic mixed hemivariational–variational inequalities featured by the presence of a potential operator. Then the well-posedness results are extended through a Banach fixed-point argument to the same class of inequalities without the potential operator assumption. The well-posedness results are further extended to a more general class of elliptic mixed hemivariational–variational inequalities through another application of the Banach fixed-point argument. The theoretical results are illustrated in the study of a contact problem. For comparison, the contact problem is studied both as an elliptic mixed hemivariational–variational inequality and as an elliptic variational–hemivariational inequality.
Details
- Title: Subtitle
- Well-posedness of a general class of elliptic mixed hemivariational–variational inequalities
- Creators
- Weimin Han - University of IowaAndaluzia Matei - University of Craiova
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.66, 103553
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2022.103553
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Grant note
- 850737 / Simons Foundation (http://dx.doi.org/10.13039/100000893) 823731 / European Union’s Horizon 2020 Research and Innovation Programme (http://dx.doi.org/10.13039/501100007601)
- Language
- English
- Date published
- 08/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984240874302771
Metrics
1 Record Views