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arXiv · 1906.07519

The effect of curvature in fractional Hardy--Sobolev inequality with the Spectral Dirichlet Laplacian

Nikita Ustinov
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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.

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Nikita Ustinov. 2019-06-18. The effect of curvature in fractional Hardy--Sobolev inequality with the Spectral Dirichlet Laplacian. https://arxiv.org/abs/1906.07519

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