Existence and uniqueness of very singular solutions for a fast diffusion   equation with gradient absorption
  Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -\Delta_{p}u+|\nabla u|^q=0, \ \hbox{in} \ (0,\infty)\times\real^N, {equation*} where $2N/(N+1) 
Razvan Gabriel Iagar (IMAR), Philippe Laurencot (IMT)
math.AP