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Published in:
2003 | OriginalPaper | Chapter
Elements of Nonsmooth Analysis
Authors : D. Motreanu, V. Rădulescu
Published in: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
Publisher: Springer US
Included in: Professional Book Archive
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In this Chapter we recall important definitions and results from the theory of generalized gradient for locally Lipschitz functionals due to Clarke [8], different nonsmooth versions of Palais-Smale conditions and basic elements of nonsmooth calculus developed by Degiovanni [9], [10]. A major part in Section 2 is devoted to the relationship between the Palais-Smale condition and the coerciveness in the nonsmooth setting.