Asymptotics for the $k$-Hessian Eigenvalue on the Unit Ball

Nicholas McCleerey, Abhinav Pande, Thidas Wanasinghe

We compute the limit of the eigenvalue of the $k$-Hessian operator on the unit ball in ${\mathbb{R}}^n$ when $k\to \infty$, assuming that the ratio $\frac{n}{k}$ remains fixe…