PreprintCC BY 4.0arXiv
Rellich-Poincaré inequalities and improved Rellich inequalities
Abstract
We study linear variational problems on bounded domains Ω⊂ ℝd involving the Dirichlet biharmonic operator Δ2 and the Rellich potential |x|−4, under the assumption 0∈Ω̅. The case 0∈∂Ω is particularly noteworthy and subtle.
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BibTeX
@misc{caldiroli2026rellichpoincaré,
title = {{Rellich-Poincaré inequalities and improved Rellich inequalities}},
author = {Paolo Caldiroli and Roberta Musina},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05343},
eprint = {2611.05343},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05343},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Rellich-Poincaré inequalities and improved Rellich inequalities
AU - Paolo Caldiroli
AU - Roberta Musina
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05343
UR - https://arxiv.org/abs/2611.05343
AB - We study linear variational problems on bounded domains Ω⊂ ℝ^d involving the Dirichlet biharmonic operator Δ^2 and the Rellich potential |x|^−4, under the assumption 0∈Ω̅. The case 0∈∂Ω is particularly noteworthy and subtle.
ER -