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math.FA2026
The reach and limits of slope eikonal equations in compact spaces
David Salas, Sebastián Tapia-García, Francisco Venegas M
It is a well known fact that the eikonal equation is well posed in complete length spaces. Among the studied notions of solutions in the literature, there is one that can be define…
math.FA2021
Non-linear operators and differentiability of Lipschitz functions
Mohammed Bachir, Sebastián Tapia-García
In this work we provide a characterization of distinct type of (linear and non-linear) maps between Banach spaces in terms of the differentiability of certain class of Lipschitz fu…
math.FA2019
Compact and Limited Operators
Mohammed Bachir, Gonzalo Flores, Sebastián Tapia-García
Let be a bounded linear operator between two normed spaces. We characterize compactness of in terms of differentiability of the Lipschitz functions defined on wi…