Impacto
Downloads
Downloads per month over past year
Bernal-González, L. and Jimenez Rodriguez, G. A. and Muñoz-Fernández, Gustavo A. and Seoane-Sepúlveda, Juan B. (2017) Non-Lipschitz differentiable functions on slit domains. Revista matemática complutense . pp. 1-11. ISSN 1139-1138 (In Press)
![[thumbnail of MuñozFernandez105.pdf]](/style/images/fileicons/application_pdf.png) |
PDF
Restringido a Repository staff only 482kB |
Official URL: http://link.springer.com/article/10.1007/s13163-016-0218-x
Abstract
It is proved the existence of large algebraic structures—including large vector subspaces or infinitely generated free algebras—inside the family of non-Lipschitz differentiable real functions with bounded gradient defined on special non-convex plane domains. In particular, this yields that there are many differentiable functions on plane domains that do not satisfy the mean value theorem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Differentiable function; Domain in the plane; Free algebra; Non-Lipschitz function |
| Subjects: | Sciences > Mathematics > Functions |
| ID Code: | 41501 |
| Deposited On: | 27 Feb 2017 11:52 |
| Last Modified: | 27 Feb 2017 12:14 |
Origin of downloads
Repository Staff Only: item control page
