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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.11802 |
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| _version_ | 1866916618001448960 |
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| author | Guo, Chang-Yu Qi, Wen-Juan Sun, Zhao-Min Wang, Changyou |
| author_facet | Guo, Chang-Yu Qi, Wen-Juan Sun, Zhao-Min Wang, Changyou |
| contents | In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-Rivière system $$ Δ^2u=Δ(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdot\nabla u+f $$ in dimension four, with an inhomogeneous term $f\in L\log L$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11802 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Lamm-Rivière system II: energy identity Guo, Chang-Yu Qi, Wen-Juan Sun, Zhao-Min Wang, Changyou Analysis of PDEs Differential Geometry In this paper, we establish an angular energy quantization for the following fourth order inhomogeneous Lamm-Rivière system $$ Δ^2u=Δ(V\cdot\nabla u)+\text{div}(w\nabla u)+W\cdot\nabla u+f $$ in dimension four, with an inhomogeneous term $f\in L\log L$. |
| title | The Lamm-Rivière system II: energy identity |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2502.11802 |