Article contents
The principal eigenvalue of the ∞-Laplacian with the Neumann boundary condition
Published online by Cambridge University Press: 10 May 2010
Abstract
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.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 17 , Issue 2 , April 2011 , pp. 575 - 601
- Copyright
- © EDP Sciences, SMAI, 2010
References
- 4
- Cited by