Singular solutions of some elliptic equations involving mixed absorption-reaction

Marie-Françoise Bidaut-Véron, Marta Garcia Huidobro, Laurent Véron

We study properties of nonnegative functions satisfying (E)$-\Delta u+u^p-M|\nabla u{|}^q=0$ is a domain of ${\mathbb{R}}^N$ when $p>1$, $M>0$ and $1<q<p$. We concentrate our analysis on t…