A note on higher order fractional Hardy-Sobolev inequalities

DOI10.1016/j.na.2020.112168zbMath1458.35010arXiv2009.11766OpenAlexW3092353453MaRDI QIDQ1995020

Roberta Musina, Alexander I. Nazarov

Publication date: 18 February 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11766

zbMATH Keywords

symmetrizationrearrangementsfractional Laplacian

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications ⋮ Bifurcation analysis of the Hardy-Sobolev equation

Cites Work

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• Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
• The sharp exponent in the study of the nonlocal Hénon equation in \(\mathbb{R}^N\): a Liouville theorem and an existence result
• Nonlinear ground state representations and sharp Hardy inequalities
• Variational methods for non-local operators of elliptic type
• Fractional Sobolev-Hardy inequality in \(\mathbb{R}^N\)
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
• A note on truncations in fractional Sobolev spaces
• Classification of solutions for an integral equation

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