most citedSharp higher order Admas' inequality with exact growth condition on weighted Sobolev spaces

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math.DG2023

Conformally Covariant Boundary Operators and Sharp Higher Order Sobolev Trace Inequalities on Poincaré-Einstein Manifolds

Joshua Flynn, Guozhen Lu, Qiaohua Yang

In this paper we introduce conformally covariant boundary operators for Poincaré-Einstein manifolds satisfying a mild spectral assumption. Using these boundary operators we set up…