Takeuchi, ShingoYokota, Tomomi2020-11-252020-11-252003-07-11Takeuchi, S., & Yokota, T. (2003). Global attractors for a class of degenerate diffusion equations. <i>Electronic Journal of Differential Equations, 2003</i>(76), pp. 1-13.1072-6691https://hdl.handle.net/10877/13016In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalGlobal attractorsp-LaplacianDegenerate diffusionArticle