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.
Recommended Citation
V. K. Le, "Existence and Enclosure of Solutions to Noncoercive Systems of Inequalities with Multivalued Mappings and Non-power Growths," Discrete and Continuous Dynamical Systems- Series A, American Institute of Mathematical Sciences (AIMS), Jan 2013.
The definitive version is available at https://doi.org/10.3934/dcds.2013.33.255
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.
Publication Date
01 Jan 2013
