Harmonic functions on balls for x-dependent rectilinear stable processes
Abstract
We obtain sharp estimates for functions harmonic with respect to $x$-dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radial about the center. The main idea of the proof is based on the construction of global barrier functions for the $x$-dependent rectilinear fractional Laplacian in balls.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Fractional Differential Equations Solutions
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 March 2026
- Language
- EN
- Document type
- Preprint