%0 Journal Article
%A Bernal-González, L.
%A Jimenez Rodriguez, G. A.
%A Muñoz-Fernández, Gustavo A.
%A Seoane-Sepúlveda, Juan B.
%T Non-Lipschitz differentiable functions on slit domains
%D 2017
%@ 1139-1138
%U https://hdl.handle.net/20.500.14352/17654
%X 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.
%~