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On the Uniform Poincaré Inequality

On the Uniform Poincaré Inequality

Abstract We give a proof of the Poincaré inequality in W 1, p (Ω) with a constant that is independent of Ω ∊ , where  is a set of uniformly bounded and uniformly Lipschitz domains in ℝ n . As a byproduct, we obtain the following: The first non …