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arXiv · 0806.0342

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

Stefania Patrizi
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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.

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Stefania Patrizi. 2008-06-02. The principal eigenvalue of the $\infty$-Laplacian with the Neumann boundary condition. https://arxiv.org/abs/0806.0342

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