On fractional Hardy inequalities in convex sets

DOI10.3934/dcds.2018175zbMath1403.39024arXiv1802.02354OpenAlexW2964257477MaRDI QIDQ1661152

Eleonora Cinti, Lorenzo Brasco

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02354

zbMATH Keywords

fractional Sobolev spacesHardy inequalitynonlocal operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving derivatives and differential and integral operators (26D10) Fractional partial differential equations (35R11)

Related Items (17)

Nonlocal Lazer-McKenna-type problem perturbed by the Hardy's potential and its parabolic equivalence ⋮ Fractional Orlicz-Sobolev embeddings ⋮ Fractional Calderón problems and Poincaré inequalities on unbounded domains ⋮ On fractional Orlicz‑Sobolev spaces ⋮ Anisotropic p-Laplace Equations on long cylindrical domain ⋮ Robust nonlocal trace spaces and Neumann problems ⋮ On the Hardy–Sobolev Inequalities ⋮ Boundedness of functions in fractional Orlicz-Sobolev spaces ⋮ On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets ⋮ Local compactness and nonvanishing for weakly singular nonlocal quadratic forms ⋮ On fractional Orlicz-Sobolev spaces ⋮ Existence and nonexistence of positive solutions to a fractional parabolic problem with singular weight at the boundary ⋮ A fractional Laplacian problem with mixed singular nonlinearities and nonregular data ⋮ A note on homogeneous Sobolev spaces of fractional order ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ Existence of a unique positive entropy solution to a singular fractional Laplacian ⋮ A non-local semilinear eigenvalue problem

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