Abstract

We consider quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions, on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness, and extremality results.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Lipschitz; Quasilinear Variational-Hemivariational Inequalities

Library of Congress Subject Headings

Variational inequalities (Mathematics)

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2005 Hindawi Publishing Corporation, All rights reserved.

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