Boundary regularity of an isotropically censored nonlocal operator
Hardy Wai-Hong Chan · Calculus of Variations and Partial Differential Equations · 2023
Abstract In a bounded domain, we consider a variable range nonlocal operator, which is maximally isotropic in the sense that its radius of interaction equals the distance to the boundary. We establish $$C^{1,\alpha }$$ C 1 , α boundary regularity and existence results for the Dirichlet problem.