Hölder estimates for quesilinear doubly degenerate parabolic equations

In this paper we establish local Hölder estimates of weak solutions of degenerate parabolic equation of the form
$$ \frac{\partial u}{\partial t}-\frac{\partial}{\partial x_i}\left\{a_0|u|^{\sigma(m-1)}|\nabla u|^{m-2}\frac{\partial u}{\partial x_i}\right\}=0,\quad \sigma\geqslant 0,\quad m\geqslant2. $$