Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2003 |
| Publication status | Published - 2003 Dec 1 |
| Externally published | Yes |
Keywords
- Degenerate diffusion
- Global attractors
- ρ-Laplacian
ASJC Scopus subject areas
- Analysis