On the differentiability of the Sobolev norm of $W^{k,1}(M)$ on compact Riemannian manifolds

Duvan Cardona, Julio Delgado, Andres Felipe Muñoz-Tello

In this work we study the differentiability for the Sobolev norm of $W^{k,1}(M)$ in the sense of Gâteaux , where $(M,g)$ is an arbitrary closed Riemannian manifold.