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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162115We 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.Analysis of PDEsThe principal eigenvalue of the $\infty$-Laplacian with the Neumann boundary conditiontext