Existence Results for General Inequality Problems with Constraints
نویسندگان
چکیده
This paper is concerned with existence results for inequality problems of type F0(u;v) + Ψ′(u;v) ≥ 0, for all v ∈ X , where X is a Banach space, F : X → R is locally Lipschitz, and Ψ : X → (−∞+∞] is proper, convex, and lower semicontinuous. Here F0 stands for the generalized directional derivative of F and Ψ′ denotes the directional derivative of Ψ. The applications we consider focus on the variational-hemivariational inequalities involving the p-Laplacian operator.
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