Porous medium equation with absorption and a nonlinear boundary condition

@inproceedings{Andreu2001PorousME,
  title={Porous medium equation with absorption and a nonlinear boundary condition},
  author={F. Andreu and Jos{\'e} M. Maz{\'o}n and Juli{\'a}n Toledo},
  year={2001}
}
In this paper we study a porous medium equation with a nonlinear absorption term and a nonlinear boundary condition. We prove existence of weak solutions and also we establish some uniqueness and non uniqueness results for certain range of the parameters that appear in the problem. Finally we deal with the existence of global solutions in time or blow-up. We find in which region of parameters this phenomena occurs.