On image-Laplacian differential inclusions—Global existence, compactness properties and asymptotic behavior Original Research Article

In this work we consider coupled systems of pp-Laplacian differential inclusions. We obtain the global existence of solutions and good compactness properties in such way that the set of all possible solutions compose a generalized semiflow which has a global attractor for each pair of positive diffusion coefficients. We also prove that the attractors are upper semicontinuous on positive finite diffusion parameters.