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arXiv · 2309.06818

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

Alireza Tavakoli
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Abstract

In a series of articles, Ryan Hynd and Francis 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.

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Alireza Tavakoli. 2023-09-13. Extremal functions for a fractional Morrey inequality: Symmetry properties and limit at infinity. https://arxiv.org/abs/2309.06818

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