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

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

2008-06-02

arxiv.org/abs/0806.0342v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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