Fractional Hardy-Sobolev inequalities on half spaces

DOI10.1016/j.na.2018.07.002OpenAlexW2963982266MaRDI QIDQ1629785

Roberta Musina, Alexander I. Nazarov

Publication date: 12 December 2018

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/1707.02710

zbMATH Keywords

Sobolev inequalityHardy inequalityfractional Laplace operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

Fractional Hardy–Sobolev type inequalities for half spaces and John domains ⋮ On the attainability of the best constant in fractional Hardy-Sobolev inequalities involving the spectral Dirichlet Laplacian ⋮ Fractional interpolation inequality and radially symmetric ground states ⋮ On the Hardy–Sobolev Inequalities ⋮ Infinitely many solutions for problems in fractional Orlicz-Sobolev spaces ⋮ The effect of curvature in fractional Hardy–Sobolev inequality involving the spectral Dirichlet Laplacian ⋮ Extremals for fractional order Hardy-Sobolev-Maz'ya inequality ⋮ Sobolev inequalities for fractional Neumann Laplacians on half spaces ⋮ Fractional Hardy-Sobolev inequalities with magnetic fields

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