In this paper we study a class of abstract quasi-variational inequalities with nonlocal constraints depending on the unknown and establish an existence result. Further we give its applications to parabolic systems of partial differential inequalities with nonlocal obstacles depending on the unknowns.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-10, author = {Risei Kano}, title = {Applications of abstract parabolic quasi-variational inequalities to obstacle problems}, journal = {Banach Center Publications}, volume = {86}, year = {2009}, pages = {163-174}, zbl = {1178.35223}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-10} }
Risei Kano. Applications of abstract parabolic quasi-variational inequalities to obstacle problems. Banach Center Publications, Tome 86 (2009) pp. 163-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-10/