## Infinite-dimensional attractors for evolution equations with $$p$$-Laplacian and their Kolmogorov entropy.(English)Zbl 1212.37081

Summary: We give a detailed study on the attractors for the parabolic equations in bounded domains involving $$p$$-Laplacian as the principal term. Not only the existence of attractors but also their new properties are presented, which cannot be observed for the non-degenerate parabolic equations. In particular, we construct infinite-dimensional attractors whose $$\varepsilon$$-Kolmogorov entropy behave as the polynomial of $$1/\varepsilon$$ as $$\varepsilon$$ tends to zero.

### MSC:

 37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems 35K65 Degenerate parabolic equations