The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition

DOI10.1051/COCV/2010019zbMATH Open1219.35074arXiv0806.0342OpenAlexW2119596628MaRDI QIDQ3008434

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Publication date: 15 June 2011

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/0806.0342

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