arXiv subjects

Zhao-Min Sun

Publications and source records attributed to Zhao-Min Sun.

2 recordsLinked to original sources

arXiv2025

The Lamm-Rivi\`ere system II: energy identity

In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-Rivi\`ere system $$ \Delta^2u=\Delta(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdot\nabla u+f $$ in dimension four, with an inhomogeneous term $f\in L\log L$.

math.AP↗

arXiv2024

Conservation law for a fourth order elliptic system in supercritical dimensions

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.

math.AP↗