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arXiv · 2606.15879

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

Duvan Cardona·Julio Delgado·Andres Felipe Muñoz-Tello
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Abstract

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

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Duvan Cardona, Julio Delgado, Andres Felipe Muñoz-Tello. 2026-06-14. On the differentiability of the Sobolev norm of $W^{k,1}(M)$ on compact Riemannian manifolds. https://doi.org/10.1007/s41478-026-01078-w

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