Geometric inequalities for fractional Laplace operators and applications

DOI10.1007/s00030-015-0340-3zbMath1327.35398OpenAlexW963190970MaRDI QIDQ889851

Fausto Ferrari, Eleonora Cinti

Publication date: 9 November 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0340-3

zbMATH Keywords

fractional LaplacianHardy-type inequalitiesweighted Poincaré inequalities of fractional order

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential inequalities and systems of partial differential inequalities (35R45) Fractional partial differential equations (35R11)

Related Items (5)

On fractional Hardy inequalities in convex sets ⋮ Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain ⋮ De Giorgi type results for equations with nonlocal lower-order terms ⋮ Symmetry properties for solutions of nonlocal equations involving nonlinear operators ⋮ On nonlocal systems with jump processes of finite range and with decays

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