On the growth of nonlocal catenoids
| Autor: | Enrico Valdinoci, Matteo Cozzi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mathematics(all) Minimal surface General Mathematics media_common.quotation_subject Logarithmic growth Infinity Mathematics - Analysis of PDEs Nonlocal minimal surfaces Fractional perimeter Nonlocal catenoids FOS: Mathematics Mathematics::Differential Geometry Asymptotics Analysis of PDEs (math.AP) Mathematics media_common |
| Zdroj: | Cozzi, M & Valdinoci, E 2020, ' On the growth of nonlocal catenoids ', Rendiconti Lincei. Matematica e Applicazioni, vol. 31, no. 1, pp. 237-248 . https://doi.org/10.4171/RLM/888 |
| DOI: | 10.4171/RLM/888 |
| Popis: | As well known, classical catenoids in R 3 possess logarithmic growth at infinity. In this note we prove that the case of nonlocal minimal surfaces is significantly di¤erent, and indeed all nonlocal catenoids must grow at least linearly. More generally, we prove that stationary sets for the nonlocal perimeter functional which grow sublinearly at infinity are necessarily half-spaces. |
| Databáze: | OpenAIRE |
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