Degenerate parabolic $p$-Laplacian equations: existence, uniqueness and asymptotic behavior of solutions

David Cruz-Uribe, Kabe Moen, Yuanzhen Shao

In this paper we study the degenerate parabolic $p$-Laplacian,${\partial }_{t}u-v^{-1}\mathrm{div}(|\sqrt{Q}\nabla u{|}^{p-2}Q\nabla u)=0$, where the degeneracy is controlled by a mat…