2 papers
math.AP2008
The p-Laplace heat equation with a source term : self-similar solutions revisited
Marie-Françoise Bidaut-Véron
We study the self-similar solutions of any sign of the equation u_{t}-div(|∇u|^{p-2}∇u)=|u|^{q-1}u, in R^{N}, where p,q>1. We extend the results of Haraux-Weissler obta…
math.AP2007
Separable solutions of some quasilinear equations with source reaction
Marie-Francoise Bidaut-Veron, Mustapha Jazar, Laurent Veron
We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct ou…