Keller–Osserman a priori estimates and the removability result for the anisotropic porous medium equation with absorption term

Abstract

We obtain the removability result for quasilinear equations of the form

\( {u}_t-\sum \limits_{i=1}^n{\left({u}^{m_i-1}{u}_{x_i}\right)}_{x_i}+f(u)=0,u\ge 0, \)

and prove a priori estimates of the Keller–Osserman type.