Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 76, pp. 1-13.

Title: Global attractors for a class of degenerate diffusion equations

Authors: Shingo Takeuchi (Kogakuin Univ., Tokyo, Japan)
         Tomomi Yokota  (Tokyo Univ. of Science, Japan)

Abstract: 
 In this paper we  give two existence results for a class of
 degenerate diffusion equations with p-Laplacian.
 One is on a unique global strong  solution, and the other is
 on a global attractor. It is also shown that the global attractor
 coincides with the unstable set of the set of all stationary solutions.
 As a by-product, an a-priori estimate for solutions
 of the corresponding elliptic equations is obtained.
 
Submitted January 29, 2003. Revised May 8, 2003. Published July 11, 2003.
Math Subject Classifications: 35K65, 37L30.
Key Words: Global attractors; p-Laplacian; degenerate diffusion.