Continuity properties on for -Laplacian parabolic problems

Existence and upper semicontinuity of global attractors for a $p$-Laplacian inclusion

“…During the last ten years, many researches have spent much effort in obtaining results on global attractors for p-Laplacian problems (see for example [1,4,8,6,10,11,12,13,16,18,19,21,22,23,24,25,26,27]). To prove existence of a global attractor for Partial Differential Inclusions it is necessary to use theory of multivalued semigroups or generalized semiflows (see [2,5,17,20]).…”

A Takeuchi-Yamada type equation with variable exponents

“…Note that taking p = q = r = 2, problem (P 2) becomes problem (P 1). The authors in [4] proved the continuity of the flows and upper semicontinuity of a family of global attractors for the problem (P 2) when p = q and p → 2.…”

Global attractors for $p$-Laplacian differential inclusions in unbounded domains

“…Introduction. During the last ten years, many researchers have spent much effort in obtaining results on global attractors for p-Laplacian problems (see for example [1,7,12,15,16,20,24,25,37,41,42,46,48,49,50,56,57,58,59]). It is worth noting that p-laplacian equations have applications in a variety of phenomena, such as nonlinear elasticity, flows in porous media, non-Newtonian fluids and many others (see [35], [36], [38] and the references therein).…”