The quantitative Faber-Krahn inequality for the Robin Laplacian
Analysis of PDEs
2016-11-22 v1
Abstract
We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the Fraenkel asymmetry, multiplied by a constant depending on the Robin parameter, the dimension of the space and the measure of the set.
Keywords
Cite
@article{arxiv.1611.06704,
title = {The quantitative Faber-Krahn inequality for the Robin Laplacian},
author = {D. Bucur and V. Ferone and C. Nitsch and C. Trombetti},
journal= {arXiv preprint arXiv:1611.06704},
year = {2016}
}