Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities

DOI10.1016/j.jfa.2015.11.016zbMath1356.46032OpenAlexW2250456192MaRDI QIDQ279788

Konstantinos Tzirakis

Publication date: 29 April 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.11.016

zbMATH Keywords

critical Sobolev exponentfractional LaplacianHardy-Sobolev inequalityweighted trace Hardy inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional partial differential equations (35R11)

Related Items (13)

Local existence for evolution equations with nonlocal term in time and singular initial data ⋮ Combined effects of the Hardy potential and lower order terms in fractional Laplacian equations ⋮ Series expansion of weighted Finsler-Kato-Hardy inequalities ⋮ Fractional Orlicz-Sobolev embeddings ⋮ On fractional Orlicz‑Sobolev spaces ⋮ Poisson problems involving fractional Hardy operators and measures ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential ⋮ Extremals for fractional order Hardy-Sobolev-Maz'ya inequality ⋮ A characteristic of local existence for nonlinear fractional heat equations in Lebesgue spaces ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications ⋮ On fractional Orlicz-Sobolev spaces ⋮ Fractional Hardy-Sobolev inequalities with magnetic fields

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• Improving interpolated Hardy and trace Hardy inequalities on bounded domains
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Nonlinear ground state representations and sharp Hardy inequalities
• On the best constant of Hardy-Sobolev inequalities
• Sharp constants in the Hardy-Rellich inequalities
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Optimizing improved Hardy inequalities
• Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
• Trace Hardy-Sobolev-Maz'ya inequalities for the half fractional Laplacian
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• On the spectrum of two different fractional operators
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Some Theorems Concerning 2-Dimensional Brownian Motion
• Symmetric Stable Processes as Traces of Degenerate Diffusion Processes
• An Extension Problem Related to the Fractional Laplacian

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