Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids

  title={Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids},
  author={Marius Ghergu and Jacques Giacomoni and Gurpreet Singh},
We study positive radial solutions of quasilinear elliptic systems with a gradient term in the form $$ \left\{ \begin{aligned} \Delta_{p} u&=v^{m}|\nabla u|^{\alpha}&&\quad\mbox{ in }\Omega,\\ \Delta_{p} v&=v^{\beta}|\nabla u|^{q} &&\quad\mbox{ in }\Omega, \end{aligned} \right. $$ where $\Omega\subset\R^N$ $(N\geq 2)$ is either a ball or the whole space, $1 0$, $\alpha\geq 0$, $0\leq \beta\leq m$ and $(p-1-\alpha)(p-1-\beta)-qm\neq 0$. We first classify all the positive radial solutions in case… 

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