October 2022 On a fractional Hardy–Sobolev inequality with two-variables
Zhenyu Guo, Xuexiu Zhong
Rocky Mountain J. Math. 52(5): 1643-1660 (October 2022). DOI: 10.1216/rmj.2022.52.1643

Abstract

A fractional two-variable Hardy–Sobolev inequality and its corresponding best constant are considered in this paper. As an application, we establish existence and uniqueness results of a ground state solution to a system with fractional critical Hardy–Sobolev exponents.

Citation

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Zhenyu Guo. Xuexiu Zhong. "On a fractional Hardy–Sobolev inequality with two-variables." Rocky Mountain J. Math. 52 (5) 1643 - 1660, October 2022. https://doi.org/10.1216/rmj.2022.52.1643

Information

Received: 6 July 2021; Revised: 5 December 2021; Accepted: 5 December 2021; Published: October 2022
First available in Project Euclid: 28 November 2022

MathSciNet: MR4563740
zbMATH: 1504.35014
Digital Object Identifier: 10.1216/rmj.2022.52.1643

Subjects:
Primary: 35B33 , 35R11

Keywords: fractional critical exponent , Hardy–Sobolev inequality

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.52 • No. 5 • October 2022
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