2 papers
math.AP2025
The Lamm-Rivière system II: energy identity
Chang-Yu Guo, Wen-Juan Qi, Zhao-Min Sun +1
In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-Rivière system $$ Δ^2u=Δ(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdot\n…
math.AP2024
Conservation law for a fourth order elliptic system in supercritical dimensions
Wen-Juan Qi, Zhao-Min Sun
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 i…