Sharp Adams type inequalities in Sobolev spaces Wm,nm(Rn) for arbitrary integer m

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N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013, unknown): “In the Euclidean spaces, see for example, [1], [2], [3], [8], [5], [7], [18], [19], [15], [16], [32], [31], [25], [26], [27], [28], [39], [40], etc.”
Sharp singular Adams inequalities in high order Sobolev spaces (2011, methodology): “We completely avoid the symmetrization argument and we do not use the complicated comparison principle for solutions to the polyharmonic operators unlike as used in [47], [29] and this paper.”
Best Constants for Moser-Trudinger Inequalities on High Dimensional Hyperbolic Spaces (2013, unknown): “Instead, we will use a new method, a rearrangement-free argument developed in Lam and Lu in [14, 15], to establish the sharp inequality.”
A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument (2013, methodology): “…order Sobolev spaces W m, n m (Rn) of arbitrary integer order m (Theorem 1.1) which improves the results of Ruf and Sani (2013) [48] where sharp Adams inequalities were established for even m and those of the authors (Lam and Lu, 2012 [28,29]) for odd m but with different and more restricted norms.”