In this paper we give two existence results for a class of degenerate di usion equations with ρ-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.
|Number of pages||13|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 2003|
- Degenerate diffusion
- Global attractors
ASJC Scopus subject areas