Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity
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.
Keywords:
Fractional Sobolev spaces, Hölder spaces, Morrey's inequality, fractional p-Laplacian, Perron solutions
Affiliations des auteurs :
Alireza Tavakoli 1
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
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author = {Alireza Tavakoli},
title = {Extremal functions for a fractional {Morrey} inequality: {Symmetry} properties and limit at infinity},
journal = {Annales Fennici Mathematici},
pages = {349{\textendash}385--349{\textendash}385},
year = {2024},
volume = {49},
number = {1},
doi = {10.54330/afm.146266},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.54330/afm.146266/}
}
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