Abstract
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.
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Motreanu, D., Rădulescu, V. (2003). Elements of Nonsmooth Analysis. In: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems. Nonconvex Optimization and Its Applications, vol 67. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6921-0_1
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DOI: https://doi.org/10.1007/978-1-4757-6921-0_1
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