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math.AP2019
On the symmetry and monotonicity of Morrey extremals
Ryan Hynd, Francis Seuffert
We employ Clarkson's inequality to deduce that each extremal of Morrey's inequality is axially symmetric and is antisymmetric with respect to reflection about a plane orthogonal to…
math.AP2019
Asymptotic flatness of Morrey extremals
Ryan Hynd, Francis Seuffert
We study the limiting behavior as of extremal functions for Morrey's inequality on . In particular, we compute the limit of as $|x|…