In this paper we study the asymptotic behavior of weak solutions for von Karman equations with nonlinear interior dissipation. We prove the existence of a global attractor in the spaceW 2 2 (Ω) × L 2 (Ω).

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In this paper, we study the asymptotic behavior of solutions for the plate equation with a localized damping and a critical exponent. We prove the existence, regularity and finite dimensionality of a global attractor in W 2 2 (R n ) × L 2 (R n ).

In this paper we study the global attractors for wave equations with nonlinear interior damping. We prove the existence, regularity and finite dimensionality of the global attractors without assuming a large value for the damping parameter, when the growth of the nonlinear terms is critical.

In this paper, we study the long-time behavior of solutions for the parabolic equation with nonlinear Laplacian principal part in R n . We prove the existence of a global (L 2 (R n ), L ∞ (R n ))-attractor when n p and the existence of a global (L 2 (R n ), L np/(n−p) (R n ))-attractor when n > p.  2005 Elsevier Inc. All rights reserved.