Pullback attractors and extremal global solutions for p-Laplacian problems

Abstract

In this paper we are concerned with non-autonomous p-Laplacian problems in bounded domains, which are associated with multivalued processes. Under appropriate conditions, we prove that this class of problems defines a monotone evolution process for which we obtain the existence of a pullback attractor as well as the existence of a global maximal solution and a global minimal solution delimiting this attractor.