4 citations · 11 across the 11 of their papers we have counts for
14 papers
Weak geodesics on prox-regular subsets of Riemannian manifolds
Juan Ferrera, Mohamad R. Pouryayevali, Hajar Radmanesh
We give a definition of weak geodesics on prox-regular subsets of Riemannian manifolds as continuous curves with some weak regularities. Then obtaining a suitable Lipschitz constan…
An elementary example of Sard's Theorem sharpness
Juan Ferrera
In this note we define a function that satisfies that its set of critical values has positive measure. This function provides an example, easier than tho…
A characterization of the nowhere differentiable functions of the Generalized Takagi Class
Juan Ferrera, Javier Gómez Gil, Jesús Llorente
In this paper, we prove that for some Generalized Takagi Classes, in particular for the Takagi-Van der Waerden Class, the functions are nowhere differentiable if, and only if, the…
Superdifferential of the Takagi function
Juan Ferrera, Javier Gómez Gil
The Takagi function is a classical example of a continuous nowhere differentiable function. It has empty subdifferential except in a countable set where its subdifferential is $\ma…
Infinite derivatives of the Takagi-Van der Waerden functions
Juan Ferrera, Javier Gómez Gil, Jesús Llorente
In this paper we characterize the set of points where the lateral derivatives of the Takagi-Van der Waerden functions are infinite. We also prove that the set of points with infini…
Extensions of convex functions with prescribed subdifferentials
Daniel Azagra, Juan Ferrera, Javier Gómez-Gil +1
Let be an arbitrary subset of a Banach space , be a function, and be a set-valued mapping. We give necessary and su…