Avkhadiev F.; Wirths K.
(2007)
Let Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove the inequality ∫Ω |∇ f2 dx ≥ (1/4 - v2) ∫Ω |f|2/δ2 dx + λv 2/δ0 2 ∫Ω |f|2 dx, where δ = dist(x, ∂Ω), δ0 = sup δ. The factor λv 2, ...