On global attractors for (p,q)(p,q)-Laplacian parabolic system in RNRN

In this paper, we establish the existence and L∞L∞ estimate of solutions of a (p,q)(p,q)-Laplacian parabolic system in RNRN with the initial value data. We also obtain the existence of a global (X,Y)(X,Y)-attractor for this problem, where X=L2(RN)×L2(RN),Y=Lr(RN)×Lr(RN)X=L2(RN)×L2(RN),Y=Lr(RN)×Lr(RN) for any r>max{p,q}r>max{p,q}.