arXiv:0806.0342 Abstract | arXiv Analytics

arXiv:0806.0342 [math.AP]Abstract References Reviews Resources

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

Published 2008-06-02Version 1

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.

Categories: math.AP

Keywords: neumann boundary condition, principal eigenvalue, laplacian plus lower order terms, neumann evolution problem

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