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The Wentzell operator on differential forms
Abstract
We extend the Wentzell operator to differential forms on compact manifolds with boundary, investigate its spectrum, and establish a variational characterization of the first eigenvalue. We explicitly compute the eigenvalues on the unit ball in Euclidean space. We also derive several eigenvalue estimates for the first eigenvalue, some of which are shown to be sharp. Finally, we obtain a lower bound for the gap between the lowest eigenvalues in consecutive degrees.
Related
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BibTeX
@misc{chami2026wentzell,
title = {{The Wentzell operator on differential forms}},
author = {Fida El Chami},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05824},
eprint = {2610.05824},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05824},
}
RIS
TY - UNPB
TI - The Wentzell operator on differential forms
AU - Fida El Chami
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.05824
UR - https://arxiv.org/abs/2610.05824
AB - We extend the Wentzell operator to differential forms on compact manifolds with boundary, investigate its spectrum, and establish a variational characterization of the first eigenvalue. We explicitly compute the eigenvalues on the unit ball in Euclidean space. We also derive several eigenvalue estimates for the first eigenvalue, some of which are shown to be sharp. Finally, we obtain a lower bound for the gap between the lowest eigenvalues in consecutive degrees.
ER -