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Elements of Nonsmooth Analysis

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Hemivariational Inequalities

Abstract

The aim of Chapter 1 is to provide some notions and propositions of Nonsmooth Analysis that will be used in the next Chapters for the study of engineering problems leading to hemivariational inequalities. The propositions are given here without proofs. In this Chapter we primarily rely on the books and monographs by Moreau [Mor69], Rockfellar [Rock60,68,70,79,80], Göpfert [Göp], Eke-land and Temam [Eke], Aubin [Aub77,79a,84], Aubin and Francowska [Aub90], Clarke [Clar83] and Panagiotopoulos [Pan85]. The reader is referred there for the proofs of the propositions.

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© 1993 Springer-Verlag Berlin Heidelberg

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Panagiotopoulos, P.D. (1993). Elements of Nonsmooth Analysis. In: Hemivariational Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51677-1_1

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  • DOI: https://doi.org/10.1007/978-3-642-51677-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-51679-5

  • Online ISBN: 978-3-642-51677-1

  • eBook Packages: Springer Book Archive

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