Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419320 | Journal of Mathematical Analysis and Applications | 2012 | 21 Pages |
Abstract
We are concerned in this paper with variational inequalities of the form:{ãA(u),vâuã+ãF(u),vâuã⩾ãL,vâuã,âvâK,uâK, where A is a maximal monotone operator, F is an integral multivalued lower order term, and K is a closed, convex set in a Sobolev space of variable exponent. We study both coercive and noncoercive inequalities. In the noncoercive case, a sub-supersolution approach is followed to obtain the existence and some other qualitative properties of solutions between sub- and supersolutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vy Khoi Le,