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In a series of articles, Ryan Hynd and Francis Seuffert have studied extremalfunctions for the Morrey inequality. Building upon their work, we study theextremals of a Morrey-type inequality for fractional Sobolev spaces. We verifya few of the results in the spirit of Hynd and Seuffert concerning the symmetryof extremals and their limit at infinity.

Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity