On the growth of nonlocal catenoids

Autor: Enrico Valdinoci, Matteo Cozzi

Publikováno v: 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

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 general

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a349465b39ec5e3fbe8af7b33c3b1d9a
https://purehost.bath.ac.uk/ws/files/190327488/nota_rigsublin_finale.pdf