Ferrera Cuesta, JuanGómez Gil, Javier2023-06-182023-06-182015-11-010022-247X10.1016/j.jmaa.2015.05.077https://hdl.handle.net/20.500.14352/24119In 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X15005375http://www.sciencedirect.com/restricted access517Whitney extensionSubdifferentiable functionsAnálisis matemático1202 Análisis y Análisis Funcional