Geodesic
Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity
Alireza Tavakoli1
1 KTH Royal Institute of Technology, Mathematical Institute
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 349–385.

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In a series of articles, Hynd and Seuffert have studied extremal functions for the Morrey inequality. Building upon their work, we study the extremals of a Morrey-type inequality for fractional Sobolev spaces. We verify a few of the results in the spirit of Hynd and Seuffert concerning the symmetry of extremals and their limit at infinity.
DOI : 10.54330/afm.146266
Keywords: Fractional Sobolev spaces, Hölder spaces, Morrey's inequality, fractional p-Laplacian, Perron solutions

Alireza Tavakoli 1

1 KTH Royal Institute of Technology, Mathematical Institute 
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Alireza Tavakoli. Extremal functions for a fractional Morrey inequality:  Symmetry properties and limit at infinity. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 349–385. doi : 10.54330/afm.146266. http://geodesic.mathdoc.fr/articles/10.54330/afm.146266/

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