Isolation and simplicity for the first eigenvalue of the p-laplacian with a nonlinear boundary condition
We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation.
| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10853375_v7_n5_p287_Martinez |
| Aporte de: |
| Sumario: | We prove the simplicity and isolation of the first eigenvalue for the problem Δ pu = |u| p-2u in a bounded smooth domain Ω 〈 ℝ N, with a nonlinear boundary condition given by |∇u| p-2∂u/∂v = λ |u| p-2u on the boundary of the domain. Copyright © 2002 Hindawi Publishing Corporation. |
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