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We prove the existence of a principal eigenvalue associated to the ∞-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.
We prove the existence of a principal eigenvalue associated to the
∞-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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