Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity
Nyckelord:
Fractional Sobolev spaces, Hölder spaces, Morrey's inequality, fractional p-Laplacian, Perron solutionsAbstract
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.Referera så här
Tavakoli, A. (2024). Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity. Annales Fennici Mathematici, 49(1), 349–385. https://doi.org/10.54330/afm.146266
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