Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910320183738368 |
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| author | Hu, Yuanyang |
| author_facet | Hu, Yuanyang |
| contents | Let $G=(V,E)$ be a connected finite graph. We investigate two Bogomol'nyi-Prased-Sommerfeld equations on $G$. We establish necessary and sufficient conditions for the existence and uniqueness of solutions to the two BPS equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09546 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs Hu, Yuanyang Analysis of PDEs Let $G=(V,E)$ be a connected finite graph. We investigate two Bogomol'nyi-Prased-Sommerfeld equations on $G$. We establish necessary and sufficient conditions for the existence and uniqueness of solutions to the two BPS equations. |
| title | Existence and uniqueness of solutions to Bogomol'nyi-Prased-Sommerfeld equations on graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2202.09546 |