Published Paper

Inserted: 9 sep 2024
Last Updated: 9 sep 2024

Journal: Advances in Mathematics
Year: 2022
Doi: https://doi.org/10.1016/j.aim.2022.108279

Abstract:

We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a blow-up procedure which involves some Almgren type monotonicity formulae and provides a classification of all possible homogeneity degrees of limiting entire profiles. As a consequence, we establish a strong unique continuation principle from boundary points.