Holder continuity of bounded weak solutions to generalized parabolic p-Laplacian equations II: singular case
Sukjung Hwang, Gary M. Lieberman · DOAJ (DOAJ: Directory of Open Access Journals) · 2015
Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two power functions $|Du|^{g_0 -1}$ and $|Du|^{g_1 -1}$ with $1