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

Authors

  • Alireza Tavakoli KTH Royal Institute of Technology, Mathematical Institute

DOI:

https://doi.org/10.54330/afm.146266

Keywords:

Fractional Sobolev spaces, Hölder spaces, Morrey's inequality, fractional p-Laplacian, Perron solutions

Abstract

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.

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Published

2024-06-10

Issue

Vol. 49 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

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