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PreprintCC BY 4.0HAL

On the spectrum of the biharmonic Steklov operator with Neumann boundary conditions acting on forms of the unit Euclidean ball

Abstract

We compute the spectrum of the biharmonic Steklov operator with Neumann boundary conditions acting on differential p-forms over the unit Euclidean ball. We apply it to test how far one of Kuttler-Sigillito inequalities is from being optimal.

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BibTeX
@misc{assali2026spectrum,
  title = {{On the spectrum of the biharmonic Steklov operator with Neumann boundary conditions acting on forms of the unit Euclidean ball}},
  author = {Rodolphe Abou Assali},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28181},
  eprint = {2610.28181},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05825598v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the spectrum of the biharmonic Steklov operator with Neumann boundary conditions acting on forms of the unit Euclidean ball
AU  - Rodolphe Abou Assali
PY  - 2026
DA  - 2026/10/20
PB  - HAL
DO  - 10.48550/arxiv.2610.28181
UR  - https://hal.science/hal-05825598v1
AB  - We compute the spectrum of the biharmonic Steklov operator with Neumann boundary conditions acting on differential p-forms over the unit Euclidean ball. We apply it to test how far one of Kuttler-Sigillito inequalities is from being optimal.
ER  -