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A Generalization of an Inequality of Bhattacharya and Leonetti

A Generalization of an Inequality of Bhattacharya and Leonetti

Abstract We show that bounded John domains and bounded starshaped domains with respect to a point satisfy the following inequality where F: [0, ∞) → [0, ∞) is a continuous, convex function with F(0) = 0, and u is a function from an appropriate Sobolev class. Constants b and K …