Applications of abstract parabolic quasi-variational inequalities to obstacle problems
Volume 86 / 2009
Banach Center Publications 86 (2009), 163-174
MSC: Primary 35K45; Secondary 35K50.
DOI: 10.4064/bc86-0-10
Abstract
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.