On the selfsimilar solutions of a diffusion convection equation

Abstract.

This paper is concerned with the equation¶¶$div(| \nabla u| ^{p-2}\nabla u)+\varepsilon \left| \nabla U\right| ^q+\beta x\nabla U+\alpha U=0,{\rm \ for}\;x\in \mathbb{R}^N$¶¶ where $p>2,\;q\geq 1,\;N\geq 1, \quad\varepsilon =\pm 1$ and $\alpha ,\beta, \mu$ are positive parameters. We study the existence, uniqueness of radial solutions u(r). Also, qualitative behavior of u(r) are presented.