On some nonconvex variational problems related to hemivariational inequalities. (English) Zbl 0696.49018

Naniewicz, Zdzisław

Nonlinear Anal., Theory Methods Appl. 13, No. 1, 87-100 (1989).

The author gives an estimate result for a hemivariational inequality, i.e. a nonlinear variational inequality in which the only nonmonotone term corresponds to a generalized gradient of some function f. The paper is devoted to the case when f is the product of two positive Lipschitz convex functions.

Reviewer: F.Bonnans

MSC:

49J40	Variational inequalities
49J20	Existence theories for optimal control problems involving partial differential equations
35J85	Unilateral problems; variational inequalities (elliptic type) (MSC2000)

Keywords:

superpotential; pseudo-monotone; hemivariational inequality; generalized gradient

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