Boundary regularity of an isotropically censored nonlocal operator

DOI10.1007/s00526-023-02544-0zbMath1526.35095arXiv2303.07481OpenAlexW4386396399MaRDI QIDQ6077918

Hardy Chan

Publication date: 27 September 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.07481

zbMATH Keywords

Dirichlet problemvariable range nonlocal operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Fractional partial differential equations (35R11)

Cites Work

• Regularity theory for general stable operators
• Boundary regularity for fully nonlinear integro-differential equations
• Nonlocal Harnack inequalities
• The Pohozaev identity for the fractional Laplacian
• Elliptic partial differential equations of second order
• Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
• The Boundary Harnack principle for nonlocal elliptic operators in non-divergence form
• On global solutions to semilinear elliptic equations related to the one-phase free boundary problem
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Weak and viscosity solutions of the fractional Laplace equation
• A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian
• Regularity theory for elliptic PDE
• Regularity theory for fully nonlinear integro-differential equations

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