A deformation theorem and some critical point results for non-differentiable functions

Salvatore A. Marano, Dumitru Motreanu

DOI: http://dx.doi.org/10.12775/TMNA.2003.032

Abstract


A deformation lemma for functionals which are the sum of a locally
Lipschitz continuous function and of a concave, proper and upper
semicontinuous function is established. Some critical point theorems are then
deduced and an application to a class of elliptic variational-hemivariational
inequalities is presented.

Keywords


Deformation theorems; critical points of non-smooth functions; elliptic variational-hemivariational inequalities

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