An eigenvalue estimate for a Robin 𝑝-Laplacian in 𝐶¹ domains
Konstantin Pankrashkin · Proceedings of the American Mathematical Society · 2020
Let Ω ⊂ R n \Omega \subset \mathbb {R}^n be a bounded C 1 C^1 domain and p > 1 p>1 . For α > 0 \alpha >0 , define the quantity \[ Λ ( α ) = inf u ∈ W 1 , p ( Ω ) , u ≢ 0 ( ∫ Ω | ∇ u | p d x − α ∫ ∂ Ω | u | p d s )