A remark on the fractional Hardy inequality with a remainder term

DOI10.1016/j.crma.2014.02.003zbMath1295.26018OpenAlexW2039707485MaRDI QIDQ2449595

Ireneo Peral Alonso, Boumediene Abdellaoui, A. R. M. Primo

Publication date: 9 May 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.02.003

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (12)

The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian ⋮ Optimal results for the fractional heat equation involving the Hardy potential ⋮ Combined effects of the Hardy potential and lower order terms in fractional Laplacian equations ⋮ Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications ⋮ On the fractional \(p\)-Laplacian equations with weight and general datum ⋮ Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions: applications ⋮ Unnamed Item ⋮ Some existence results for a fractional problem involving Hardy potential and variable exponent singular term ⋮ Improved fractional Hardy inequalities for Dunkl gradient ⋮ A fractional \(p\)-Laplacian problem with multiple critical Hardy-Sobolev nonlinearities ⋮ An improved Hardy inequality for a nonlocal operator

Cites Work

• Radial fractional Laplace operators and Hessian inequalities
• Nonlinear ground state representations and sharp Hardy inequalities
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
• Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
• Semilinear elliptic equations for the fractional Laplacian with Hardy potential
• Some improved Caffarelli-Kohn-Nirenberg inequalities
• Some remarks on the solvability of non-local elliptic problems with the Hardy potential
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Fractional Hardy–Sobolev–Maz'ya inequality for domains
• An Extension Problem Related to the Fractional Laplacian

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