%0 Journal Article %T Existence of Weak Solutions for a Nonlinear Elliptic System %A Ming Fang %A Robert P. Gilbert %J Boundary Value Problems %D 2009 %I Springer %R 10.1155/2009/708389 %X We investigate the existence of weak solutions to the following Dirichlet boundary value problem, which occurs when modeling an injection molding process with a partial slip condition on the boundary. We have ¦¤¦È=k(¦È)| p|r+q(x) in ¦¸; div{(k(¦È)| p|r 2+¦Â(x)| p|r0 2) p}=0 in ¦¸; ¦È=¦È0, and p=p0 on ¦¸. %U http://dx.doi.org/10.1155/2009/708389