no. 2
The principal eigenvalue of the ∞-laplacian with the Neumann boundary condition
ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 2, pp. 575-601.

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.

DOI : 10.1051/cocv/2010019
Classification : 35J25, 35D40, 35P30, 35J60
Mots clés : ∞-laplacian, Neumann boundary condition, principal eigenvalue, viscosity solutions 
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     title = {The principal eigenvalue of the $\infty $-laplacian with the {Neumann} boundary condition},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
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Patrizi, Stefania. The principal eigenvalue of the $\infty $-laplacian with the Neumann boundary condition. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 2, pp. 575-601. doi : 10.1051/cocv/2010019. http://www.numdam.org/articles/10.1051/cocv/2010019/

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