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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.00393 |
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| _version_ | 1866908624396222464 |
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| author | Shi, Yongjie Yu, Chengjie |
| author_facet | Shi, Yongjie Yu, Chengjie |
| contents | In this paper, we obtain a sharp Garliardo-Nirenberg inequality on integer lattices and characterize its rigidity. Moreover, as a consequence of the sharp Garliardo-Nirenberg inequality, we obtain sharp logarithmic Sobolev inequalities on integer lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Gagliardo-Nirenberg inequality and logarithmic Sobolev inequality on integer lattices Shi, Yongjie Yu, Chengjie Analysis of PDEs Combinatorics In this paper, we obtain a sharp Garliardo-Nirenberg inequality on integer lattices and characterize its rigidity. Moreover, as a consequence of the sharp Garliardo-Nirenberg inequality, we obtain sharp logarithmic Sobolev inequalities on integer lattices. |
| title | Sharp Gagliardo-Nirenberg inequality and logarithmic Sobolev inequality on integer lattices |
| topic | Analysis of PDEs Combinatorics |
| url | https://arxiv.org/abs/2511.00393 |