A New proof of Liouville type theorems for a class of semilinear elliptic equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918092487000064 |
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| author | Guo, Chen Zhang, Zhengce |
| author_facet | Guo, Chen Zhang, Zhengce |
| contents | We study certain typical semilinear elliptic equations in Euclidean space $\bR^{n}$ or on a closed manifold $M$ with nonnegative Ricci curvature. Our proof is based on a crucial integral identity constructed by the invariant tensor method. Together with suitable integral estimates, some classical Liouville theorems will be reestablished. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07664 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New proof of Liouville type theorems for a class of semilinear elliptic equations Guo, Chen Zhang, Zhengce Analysis of PDEs We study certain typical semilinear elliptic equations in Euclidean space $\bR^{n}$ or on a closed manifold $M$ with nonnegative Ricci curvature. Our proof is based on a crucial integral identity constructed by the invariant tensor method. Together with suitable integral estimates, some classical Liouville theorems will be reestablished. |
| title | A New proof of Liouville type theorems for a class of semilinear elliptic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.07664 |