2003 | OriginalPaper | Buchkapitel
Critical Points for Nonsmooth Functionals
verfasst von : D. Motreanu, V. Rădulescu
Erschienen in: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
Verlag: Springer US
Enthalten in: Professional Book Archive
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The present Chapter deals with critical point theory for three different nonsmooth situations. First, we set forth the critical point theory for locally Lipschitz functionals, following the approach of Chang [4] and Clarke [5]. Then a critical point theory is described for nonsmooth functionals expressed as a sum of a locally Lipschitz function and a convex, proper and lower semicontinuous function, using the development in Motreanu and Panagiotopoulos [26]. Finally, the critical point theory for continuous functionals defined on a complete metric space as introduced by Degiovanni and Marzocchi [7] is presented.