Isolation and simplicity for the first eigenvalue of the p‐Laplacian with a nonlinear boundary condition
Open Access
- 1 January 2000
- journal article
- research article
- Published by Wiley in Abstract and Applied Analysis
- Vol. 7 (5) , 287-293
- https://doi.org/10.1155/s108533750200088x
Abstract
We prove the simplicity and isolation of the first eigenvalue for the problem Δpu=|u|p−2u in a bounded smooth domain Ω⊂ℝN, with a nonlinear boundary condition given by |∇u|p−2∂u/∂v=λ|u|p−2u on the boundary of the domain.Keywords
Funding Information
- Agencia Nacional de Promoción Científica y Tecnológica
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