Isolation and simplicity for the first eigenvalue of the p-Laplacian with a nonlinear boundary condition
oleh: Sandra Martínez, Julio D. Rossi
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2002-01-01 |
Deskripsi
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.