Title

Existence and Enclosure of Solutions to Noncoercive Systems of Inequalities with Multivalued Mappings and Non-power Growths

Editor(s)

Hu, Shouchuan

Abstract

This paper is about systems of variational inequalities of the form: {‹AkUk+Fk(u),vk−uk›≥0,∀vk∈Kkuk∈Kk, (k=1,…,m), where Ak and Fk are multivalued mappings with possibly non-power growths and Kk is a closed, convex set. We concentrate on the noncoercive case and follow a sub-supersolution approach to obtain the existence and enclosure of solutions to the above system between sub- and supersolutions.

Department(s)

Mathematics and Statistics

Keywords and Phrases

nonsmooth functional; multivalued mapping; variational inequality; Orlicz-Sobelov space

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 American Institute of Mathematical Sciences (AIMS), All rights reserved.

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