Conservation law for a fourth order elliptic system in supercritical dimensions
Analysis of PDEs
2024-01-30 v1
Abstract
In this short note, we extend the conservation law of Lamm-Rivi\`ere [Comm. PDEs 2008] for a fourth order elliptic system to supercritical dimensions, under certain Lorentz-Sobolev integrability assumptions on the associated coefficient functions.
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Cite
@article{arxiv.2401.15401,
title = {Conservation law for a fourth order elliptic system in supercritical dimensions},
author = {Wen-Juan Qi and Zhao-Min Sun},
journal= {arXiv preprint arXiv:2401.15401},
year = {2024}
}
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6 Pages