Journal article
A Revisit of Elliptic Variational-Hemivariational Inequalities
Numerical functional analysis and optimization, Vol.42(4), pp.371-395
05/21/2021
DOI: 10.1080/01630563.2021.1881541
Abstract
In this paper, we provide an alternative approach to establish the solution existence and uniqueness for elliptic variational-hemivariational inequalities. The new approach is based on elementary results from functional analysis, and thus removes the need of the notion of pseudomonotonicity and the dependence on surjectivity results for pseudomonotone operators. This makes the theory of elliptic variational-hemivariational inequalities more accessible to applied mathematicians and engineers. In addition, equivalent minimization principles are further explored for particular elliptic variational-hemivariational inequalities. Representative examples from contact mechanics are discussed to illustrate application of the theoretical results.
Details
- Title: Subtitle
- A Revisit of Elliptic Variational-Hemivariational Inequalities
- Creators
- Weimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Numerical functional analysis and optimization, Vol.42(4), pp.371-395
- DOI
- 10.1080/01630563.2021.1881541
- ISSN
- 0163-0563
- eISSN
- 1532-2467
- Publisher
- TAYLOR & FRANCIS INC
- Number of pages
- 25
- Grant note
- 823731 - CONMECH / European Union; European Commission
- Language
- English
- Date published
- 05/21/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240876302771
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