Self-similar solutions of the p-Laplace heat equation: the case when p>2

Marie-Françoise Bidaut-Véron

We study the self-similar solutions of the equation \[ u_{t}-div(| \nabla u| ^{p-2}\nabla u)=0, \] in ${\mathbb{R}}^N,$ when $p>2.$ We make a complete study of the existence and po…