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Isolation and simplicity for the first eigenvalue of the <i>p</i>‐Laplacian with a nonlinear boundary condition
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 ⊂ ℝ N , with a nonlinear boundary condition given by |∇ u | p −2 ∂ u / ∂ v …