On the principal eigenvalue of the truncated Laplacian, and submanifolds with bounded mean curvature

Gregório Pacelli F. Bessa, Luquésio Petrola de M. Jorge, Luciano Mari

In this paper, we study the principal eigenvalue $\mu ({\mathcal{F}}_k^{-},E)$ of the fully nonlinear operator \[ \mathscr{F}_k^-[u] = \mathcal{P}_k^-(\nabla^2 u) - h |\nabla u| \] on a s…