Conservation law for a fourth order elliptic system in supercritical dimensions

2024/01/27 by Qi, Wen-Juan, Sun, Zhao-Min
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.15401

Abstract

In this short note, we extend the conservation law of Lamm-Rivière [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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