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arXiv · 2502.11802

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

Chang-Yu Guo·Wen-Juan Qi·Zhao-Min Sun·Changyou Wang
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Abstract

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 $f\in L\log L$.

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Chang-Yu Guo, Wen-Juan Qi, Zhao-Min Sun, Changyou Wang. 2025-02-17. The Lamm-Rivi\`ere system II: energy identity. https://arxiv.org/abs/2502.11802

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