Abstract and Applied Analysis

Existence results for general inequality problems with constraints

George Dincă, Petru Jebelean, and Dumitru Motreanu

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Abstract

This paper is concerned with existence results for inequality problems of type F0(u;v)+Ψ(u;v)0, for all vX, where X is a Banach space, F:X 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.

Article information

Source
Abstr. Appl. Anal., Volume 2003, Number 10 (2003), 601-619.

Dates
First available in Project Euclid: 1 June 2003

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1054513099

Digital Object Identifier
doi:10.1155/S1085337503210058

Mathematical Reviews number (MathSciNet)
MR1990855

Zentralblatt MATH identifier
1031.47039

Subjects
Primary: 47J20: Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 49J52
Secondary: 49J53 58E35

Citation

Dincă, George; Jebelean, Petru; Motreanu, Dumitru. Existence results for general inequality problems with constraints. Abstr. Appl. Anal. 2003 (2003), no. 10, 601--619. doi:10.1155/S1085337503210058. https://projecteuclid.org/euclid.aaa/1054513099


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