The effect of curvature in fractional Hardy--Sobolev inequality with the Spectral Dirichlet Laplacian
arXiv:1906.07519
Abstract
We prove the attainability of the best constant in the fractional Hardy--Sobolev inequality with boundary singularity for the Spectral Dirichlet Laplacian. The main assumption is the average concavity of the boundary at the origin.
33 pages