Weighted graphs in the sense of John and a global Poincaré inequality
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915887819259904 |
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| author | López-García, Fernando Rodriguez, John |
| author_facet | López-García, Fernando Rodriguez, John |
| contents | In this paper, we establish a condition on weighted graphs with finite measure that guarantees the validity of a global Poincaré inequality. This condition can be viewed as a discrete analogue of the criterion introduced by J. Boman in 1982 for Whitney cubes, which in turn characterizes the condition originally proposed by F. John in his seminal 1961 work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted graphs in the sense of John and a global Poincaré inequality López-García, Fernando Rodriguez, John Classical Analysis and ODEs Analysis of PDEs Primary: 26D15, Secondary: 05C75, 05C22, 05C63, 05C05 In this paper, we establish a condition on weighted graphs with finite measure that guarantees the validity of a global Poincaré inequality. This condition can be viewed as a discrete analogue of the criterion introduced by J. Boman in 1982 for Whitney cubes, which in turn characterizes the condition originally proposed by F. John in his seminal 1961 work. |
| title | Weighted graphs in the sense of John and a global Poincaré inequality |
| topic | Classical Analysis and ODEs Analysis of PDEs Primary: 26D15, Secondary: 05C75, 05C22, 05C63, 05C05 |
| url | https://arxiv.org/abs/2511.17921 |