A characterization of semistable radial solutions of k-Hessian equations

Miguel Angel Navarro, Justino Sánchez

We characterize semistable radial solutions of the equation $S_k\left(D^2u\right)=g(u)\;\mbox{in } B_1$, where $B_1$ is the unit ball of ${\mathbb{R}}^n$, $D^{2}u$ is the Hessian matri…