Some critical point theorems involving functional that are the sum of a locally Lipschitz continuous term and of a convex, proper, besides lower semicontinuous, function are established. A recent existence result of Adly, Buttazzo, and Théra [1, Theorem 2.3] is improved. Applications to elliptic variational-hemivariational inequalities are then examined.
Candito, P., A. Marano, S., Motreanu, D. (2005). Critical points for a class of nondifferentiable functions and applications. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 13(1), 175-194 [10.3934/dcds.2005.13.175].
Critical points for a class of nondifferentiable functions and applications
Candito, P.
;
2005-01-01
Abstract
Some critical point theorems involving functional that are the sum of a locally Lipschitz continuous term and of a convex, proper, besides lower semicontinuous, function are established. A recent existence result of Adly, Buttazzo, and Théra [1, Theorem 2.3] is improved. Applications to elliptic variational-hemivariational inequalities are then examined.
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