Existence results for general inequality problems with constraints

George Dincă, Petru Jebelean and Dumitru Motreanu

Abstract and Applied Analysis, 2003, vol. 2003, issue 10, 601-619

Abstract: 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.

Date: 2003
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https://doi.org/10.1155/S1085337503210058

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:10:p:601-619

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