Quasilinear Parabolic Problem with p(x)-Laplacian Operator by Topological Degree
Mustapha Ait Hammou · Kragujevac Journal of Mathematics · 2003
We prove the existence of a weak solution for the quasilinear parabolic initial boundary value problem associated to the equationby using the Topological degree theory for operators of the form L + S, where L is a linear densely defined maximal monotone map and S is a bounded demicontinuous map of class (S + ) with respect to the domain of L.