Logarithmic upper bound for weak subsolutions to the fractional Laplace equation
Abstract
In this note, we present a logarithmic-type upper bound for weak subsolutions to a class of integro-differential problems, whose prototype is the Dirichlet problem for the fractional Laplacian. The bound is slightly smaller than the classical one in this field.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Fractional Differential Equations Solutions
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Annales Fennici Mathematici
- Volume
- 51
- Issue
- 1
- Pages
- 17–30
- Publication date
- 13 January 2026
- Language
- EN