Variational Inequalities with Multivalued Lower Order Terms and Convex Functionals in Orlicz-Sobolev Spaces

We consider the existence of solutions of variational inequality form. Find u∈D(J):〈A(u),v-u〉+〈F(u),v-u〉+J(v)-J(u)≥0, ∀v∈W1LM(Ω), whose principal part is having a growth not necessarily of polynomial type, where A is a second-order elliptic operator of Leray-Lions type, F is a multivalued lower orde...

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Bibliographic Details
Main Authors: Ge Dong, Xiaochun Fang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/321437