RT Journal Article
T1 Non-Lipschitz differentiable functions on slit domains
A1 Bernal-González, L.
A1 Jimenez Rodriguez, G. A.
A1 Muñoz-Fernández, Gustavo A.
A1 Seoane-Sepúlveda, Juan B.
AB 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.
PB Springer
SN 1139-1138
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17654
UL https://hdl.handle.net/20.500.14352/17654
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Andalucía
NO MEC
DS Docta Complutense
RD 16 may 2024