Upper semicontinuity of attractors and continuity of equilibrium sets for parabolic problems with degenerate p-Laplacian

Abstract

In this work we obtain some continuity properties on the parameter q at p=q for the Takeuchi-Yamada problem which is a degenerate p-laplacian version of the Chafee-Infante problem. We prove the continuity of the flows and the equilibrium sets, and the upper semicontinuity of the global attractors.

Keywords

• p-Laplacian
• continuity properties
• equilibrium sets
• global attractors