The Sub-supersolution Method and Extremal Solutions for Quasilinear Hemivariational Inequalities

Abstract

We generalize the sub-supersolution method known for weak solutions of single and multivalued equations to quasilinear elliptic hemivariational inequalities. To this end we first introduce our basic notion of sub- and supersolutions on the basis of which we then prove existence, comparison, compactness, and extremality results for the hemivariational inequalities under considerations.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0893-4983

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 Khayyam Publishing, All rights reserved.

Publication Date

01 Jan 2004

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