Existence results for general inequality problems with constraints

George Dincă, Petru Jebelean and Dumitru Motreanu

Abstract and Applied Analysis, 2003, vol. 2003, 1-19

Abstract:

This paper is concerned with existence results for inequality problems of type F 0 ( 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 F 0 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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:358591

DOI: 10.1155/S1085337503210058

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