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Nonlinear Analysis, Differential Equations and Control pp 447–502Cite as

Variational methods in local and global non-smooth analysis

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Part of the book series: NATO Science Series ((ASIC,volume 528))

Abstract

In these lectures we discuss basic ideas and some applications of the new variational methods developed in non-smooth analysis. The methods are based on two groups of results: variational principles and critical point theory on metric spaces. We consider both in detail trying to emphasize simple intuitive geometric ideas behind them. The applications to be considered include: subdifferential (fuzzy) calculus, metric regularity, stability and bifurcations. A few examples will be given to show that even in the smooth situations the new variational techniques open new opportunities.

Partially supported by the USA-Israel grant no. 94–237

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Authors and Affiliations

  1. Department of Mathematics, The Technion, Haifa, 32000, Israel

    Alexander Ioffe

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  1. Alexander Ioffe
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Editors and Affiliations

  1. Institut Gérard Desargues, Université Claude Bernard (Lyon 1), Villeurbanne, France

    F. H. Clarke

  2. Department of Mathematics and Statistics, Concordia University, Montréal, Québec, Canada

    R. J. Stern

  3. Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec, Canada

    G. Sabidussi

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Ioffe, A. (1999). Variational methods in local and global non-smooth analysis. In: Clarke, F.H., Stern, R.J., Sabidussi, G. (eds) Nonlinear Analysis, Differential Equations and Control. NATO Science Series, vol 528. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4560-2_8

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