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Sobolev type inequalities for compact metric graphs
In this paper analogues of Sobolev inequalities for compact and connected metric graphs are derived. As a consequence of these inequalities, a lower bound, commonly known as Cheeger inequality, on the first non-zero eigenvalue of the Laplace operator with standard vertex conditions is recovered.
保存先:
| 出版年: | J Inequal Appl |
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| 第一著者: | |
| フォーマット: | Artigo |
| 言語: | Inglês |
| 出版事項: |
Springer International Publishing
2018
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| 主題: | |
| オンライン･アクセス: | https://ncbi.nlm.nih.gov/pmc/articles/PMC6182407/ https://ncbi.nlm.nih.gov/pubmed/30363811 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1186/s13660-018-1872-y |
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