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, issue 5, 287-293

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.

Date: 2002
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https://doi.org/10.1155/S108533750200088X

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:5:p:287-293

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