Boundary estimates and a Wiener criterion for the fractional Laplacian

2021/07/09 by Jana Björn, Björn, Jana · 1 citation
Engineering · Mathematics · #35J25 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematics Subject Classification (2020): Primary: 35R11 #Nonlinear Partial Differential Equations #Secondary: 35B65 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2107.04364

openalex publication_date 2021/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Caffarelli--Silvestre extension, we show for a general open set \Om⊂\Rⁿ that a boundary point x₀ is regular for the fractional Laplace equation (-Δ)^su=0, 0

Cited by

• Hölder extension for fractional Laplacian

Related

• The Dirichlet problem for the fractional Laplacian: regularity up to the\n boundary
• Boundary behavior of solutions to fractional p-Laplacian equation
• The Neumann problem for the fractional Laplacian: regularity up to the boundary
• Fine Boundary Regularity For The Fractional (p,q)-Laplacian
• Fine boundary regularity for the singular fractional p-Laplacian