On the shape of the first fractional eigenfunction
Analysis of PDEs
2022-05-02 v1
Abstract
We show that the first eigenfunction of the fractional Laplacian , , is superharmonic in the unitary ball up to dimension . To this aim, we also rely on a computer-assisted step to estimate a rather complicated constant depending on the dimension and the power .
Cite
@article{arxiv.2204.14149,
title = {On the shape of the first fractional eigenfunction},
author = {Nicola Abatangelo and Sven Jarohs},
journal= {arXiv preprint arXiv:2204.14149},
year = {2022}
}
Comments
20 pages, 5 figures