Obstacle Problems Involving the Fractional Laplacian

DOI10.1515/9783110571561-005zbMath1408.35226OpenAlexW2795823039MaRDI QIDQ4646361

Donatella Danielli, Sandro Salsa

Publication date: 11 January 2019

Published in: Recent Developments in Nonlocal Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110571561-005

zbMATH Keywords

obstacle problemsfractional Laplacian

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

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On singular equations involving fractional Laplacian ⋮ On a class of nonlocal obstacle type problems related to the distributional Riesz fractional derivative ⋮ From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces ⋮ Existence and uniqueness of solution for a nonlinear fractional problem involving the distributional Riesz derivative ⋮ On a weighted two-phase boundary obstacle problem ⋮ Obstacle problems for integro-differential operators: higher regularity of free boundaries ⋮ Nonlocal semilinear elliptic problems with singular nonlinearity ⋮ A limiting obstacle type problem for the inhomogeneous \(p\)-fractional Laplacian ⋮ Fractional thoughts ⋮ Higher regularity for the Signorini problem for the homogeneous, isotropic Lamé system ⋮ The thin obstacle problem: a survey ⋮ Fractional heat equation with singular nonlinearity

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