Standard

Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. / Musina, Roberta; Nazarov, Alexander I.

In: Journal of Differential Equations, Vol. 280, 2021, p. 292-314.

Research output: Contribution to journal › Article › peer-review

Harvard

Musina, R & Nazarov, AI 2021, 'Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications', Journal of Differential Equations, vol. 280, pp. 292-314.

APA

Musina, R., & Nazarov, A. I. (2021). Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. Journal of Differential Equations, 280, 292-314.

Vancouver

Musina R, Nazarov AI. Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. Journal of Differential Equations. 2021;280:292-314.

Author

Musina, Roberta ; Nazarov, Alexander I. / Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. In: Journal of Differential Equations. 2021 ; Vol. 280. pp. 292-314.

BibTeX

@article{9c3763ee64ba4fc2acaec857da03d5f3,
title = "Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications",
abstract = "We study linear and non-linear equations related to the fractional Hardy–Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions to some perturbed equations.",
keywords = "Fractional Laplacian, Fractional Hardy–Sobolev inequality, Nondegeneracy, Symmetry preserving",
author = "Roberta Musina and Nazarov, {Alexander I.}",
year = "2021",
language = "English",
volume = "280",
pages = "292--314",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Complete classication and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications

AU - Musina, Roberta

AU - Nazarov, Alexander I.

PY - 2021

Y1 - 2021

N2 - We study linear and non-linear equations related to the fractional Hardy–Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions to some perturbed equations.

AB - We study linear and non-linear equations related to the fractional Hardy–Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions to some perturbed equations.

KW - Fractional Laplacian

KW - Fractional Hardy–Sobolev inequality

KW - Nondegeneracy

KW - Symmetry preserving

UR - https://www.sciencedirect.com/science/article/abs/pii/S0022039621000358

UR - https://proxy.library.spbu.ru:2068/science/article/pii/S0022039621000358?via%3Dihub

M3 - Article

VL - 280

SP - 292

EP - 314

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -

ID: 86194845