Hölder continuity up to the boundary for a class of fractional obstacle problems

DOI10.4171/RLM/739zbMath1344.35159OpenAlexW2466549727MaRDI QIDQ530641

Tuomo Kuusi, Giampiero Palatucci, Janne Korvenpää

Publication date: 10 August 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/739

zbMATH Keywords

obstacle problemfractional Sobolev spacesCaccioppoli estimatesquasilinear nonlocal operatorsnonlocal tail

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (6)

The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ Strong comparison principle for the fractional \(p\)-Laplacian and applications to starshaped rings ⋮ The obstacle problem for nonlinear integro-differential operators ⋮ Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations ⋮ A limiting obstacle type problem for the inhomogeneous \(p\)-fractional Laplacian ⋮ Local Hölder regularity for nonlocal equations with variable powers

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