The principal eigenvalue of the $\infty$-Laplacian with the Neumann boundary condition

Abstract

We prove the existence of a principal eigenvalue associated to the $\infty$-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.

References in corpus (1)

• The Neumann problem for singular fully nonlinear operators