Isolation and simplicity for the first eigenvalue of the p -Laplacian with a nonlinear boundary condition

Sandra Martínez and Julio D. Rossi

Abstract and Applied Analysis, 2002, vol. 7, 1-7

Abstract:

We prove the simplicity and isolation of the first eigenvalue for the problem Δ p u = | u | p − 2 u in a bounded smooth domain Ω ⊂ ℠N , with a nonlinear boundary condition given by | ∇ u | p − 2 ∂ u / ∂ v = λ | u | p − 2 u on the boundary of the domain.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:956274

DOI: 10.1155/S108533750200088X

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