RT Journal Article T1 Whitney's Theorem: A nonsmooth version A1 Ferrera Cuesta, Juan A1 Gómez Gil, Javier AB In this paper we solve the problem of extending continuous functions with nonempty subdifferential at every point of a closed subset A of R-n to functions with the same property defined in the whole Rn, keeping the property of outer semicontinuity of the subdifferential, which is a set-valued function. The proof is constructive, and gives us a wide range of possible extensions. PB Elsevier SN 0022-247X YR 2015 FD 2015-11-01 LK https://hdl.handle.net/20.500.14352/24119 UL https://hdl.handle.net/20.500.14352/24119 LA eng NO Spanish Ministry of Economy and Competitiveness DS Docta Complutense RD 19 may 2024